{"id":36627,"date":"2017-12-27T20:07:59","date_gmt":"2017-12-27T20:07:59","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=36627"},"modified":"2026-03-26T11:51:11","modified_gmt":"2026-03-26T16:51:11","slug":"dividing-decimals-by-whole-numbers","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/dividing-decimals-by-whole-numbers\/","title":{"rendered":"Dividing Decimals by Whole Numbers"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_w0bjblaQPTM\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_w0bjblaQPTM\" data-source-videoID=\"w0bjblaQPTM\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Dividing Decimals by Whole Numbers Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Dividing Decimals by Whole Numbers\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_w0bjblaQPTM:hover {cursor:pointer;} img#videoThumbnailImage_w0bjblaQPTM {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/1633-dividing-decimals-by-whole-numbers-2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_w0bjblaQPTM\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_w0bjblaQPTM\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Dividing Decimals by Whole Numbers\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_w0bjblaQPTM\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_w0bjblaQPTM\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_w0bjblaQPTM\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction kqh_Function() {\n  var x = document.getElementById(\"kqh\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"kqh_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"kqh\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Dividing_Decimals_Examples\" class=\"smooth-scroll\">Dividing Decimals Examples<\/a>\n<ul><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_1\" class=\"smooth-scroll\">Example #1<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_2\" class=\"smooth-scroll\">Example #2<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_3\" class=\"smooth-scroll\">Example #3<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_4\" class=\"smooth-scroll\">Example #4<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_5\" class=\"smooth-scroll\">Example #5<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_6\" class=\"smooth-scroll\">Example #6<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"toc-h2\"><a href=\"#Dividing_Decimals_by_Whole_Number_Practice_Questions\" class=\"smooth-scroll\">Dividing Decimals by Whole Number Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this video on dividing <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/decimals\/\">decimals<\/a> by whole numbers.<\/p>\n<p>Decimals represent part of a whole, so it may seem a little unusual to divide a part of something into different groups. <\/p>\n<h2><span id=\"Dividing_Decimals_Examples\" class=\"m-toc-anchor\"><\/span>Dividing Decimals Examples<\/h2>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<p>\nIf you had part of a slice of pizza because you had eaten the other part already, it would be a little weird to split the rest of that part with a couple of friends. But, if you had part of a whole pizza left, say four slices out of whole pizza made of 8, that\u2019s not as weird to split with some friends. <\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<p>\nAnother common way you will see division with decimals is involving money. <\/p>\n<p>Consider this example: your grandma has $4.25 in coins and she wants to split the money evenly among her 5 grandkids.<\/p>\n<p>Let\u2019s go over the process of how to divide with decimals using this example.<\/p>\n<p>When dividing a decimal by a whole number, you want to set up your division just like you would for regular long division, like this:<\/p>\n<p>Then we will work the problem exactly like we would any other long division problem. The only difference being that we put a decimal point in our answer right above where it is placed in our problem, like this:<\/p>\n<p>Now proceed with regular long division. You no longer need to think about that decimal.<\/p>\n<p>So, 5 cannot go into four anytime so we&#8217;re gonna put a zero here and move on. Forty-two. Five goes into forty-two eight times. Eight times five is forty. So, we write a forty underneath and subtract. This gives us two then we bring the five down to get twenty-five. Five goes into twenty-five five times so we right a five up here. Subtract twenty-five and we&#8217;re left with zero. <\/p>\n<p>This tells us that your grandma should give 85 cents to each of her grandchildren.<\/p>\n<p>Let\u2019s try a few more examples.<\/p>\n<h3><span id=\"Example_3\" class=\"m-toc-anchor\"><\/span>Example #3<\/h3>\n<p>\n\\(8.275\\div5 \\)<br \/>\nFirst, set it up like a long division problem.<\/p>\n<p>Then, place your decimal point in the appropriate place in your <a href=\"https:\/\/www.mometrix.com\/academy\/product-and-quotient-rule\/\"><strong>quotient<\/strong><\/a>.<\/p>\n<p>And now, divide as  you would typically with long division.<\/p>\n<p>Five goes into eight one time so we&#8217;re gonna put a one up here. Five times one is five. Right down the five and subtract. This gives us three and we bring down our two. Five goes into thirty-two six times so we&#8217;re gonna write a six up here. Five times six is thirty. Write down the thirty and subtract. This gives us two and we&#8217;re gonna bring down the seven. <\/p>\n<p>Five goes into twenty-seven five times so we&#8217;re gonna write a five up here. Five times five is twenty-five. Subtract twenty-five. Now, we have two we&#8217;re gonna bring down this five down. Five goes into twenty-five five times so we write a five up here. Five times five is twenty-five. Write twenty-five and subtract which gives us zero. <\/p>\n<p>The final answer is 1.655.<\/p>\n<h3><span id=\"Example_4\" class=\"m-toc-anchor\"><\/span>Example #4<\/h3>\n<p>\nHere\u2019s another one for us to try.<\/p>\n<p>\\(0.432\\div 8\\)<br \/>\nFirst, set up your long division problem.<\/p>\n<p>Then, add your decimal point in the appropriate place.<\/p>\n<p>And from there, divide as you would typically with a long division problem.<\/p>\n<p>\\(0.432\\div 8\\)  is equal to 0.054.<\/p>\n<h3><span id=\"Example_5\" class=\"m-toc-anchor\"><\/span>Example #5<\/h3>\n<p>\nLet\u2019s try one more together. This example will require a couple of extra steps that the last few didn\u2019t.<br \/>\n\\(1.973 \\div 4 \\)<br \/>\nFirst, set it up for long division.<\/p>\n<p>Then, place the decimal point in the correct spot.<\/p>\n<p>And divide out as you would normally.<\/p>\n<p>In this problem, we encounter something we haven\u2019t before, a remainder. If you recall when you first learned how to long divide, you were most likely taught to add a decimal and a zero and then keep dividing and adding zeroes until you no longer have a remainder. You can do this because 1.0 is the same as 1, which is also the same as 1.00. Adding a decimal point and zeroes after it doesn\u2019t change the value of the original number because it just means adding zero parts to the whole. <\/p>\n<p>With our example, you are going to do almost the same thing. However, instead of adding a decimal and a zero, you will just add a zero and continue dividing. This is because we already have a decimal point and you can\u2019t have two.<\/p>\n<p>After adding two zeroes, we finally get an answer without a remainder, 0.49325.<\/p>\n<h3><span id=\"Example_6\" class=\"m-toc-anchor\"><\/span>Example #6<\/h3>\n<p>\nI want to do one more example, but this time try it on your own first. I\u2019ll give you the problem and then I want you to pause the video and find the answer yourself. Then, once you\u2019ve got it, press play and see if it matches up with mine.<br \/>\n\\(3.872 \\div 5\\) <\/p>\n<p>Ready?<\/p>\n<p>I\u2019m going to start by setting up my long division problem.<\/p>\n<p>Then I\u2019ll add my decimal.<\/p>\n<p>And finally, I\u2019ll complete the long division process.<\/p>\n<p>After adding an extra zero so I wasn\u2019t left with a remainder, I got 0.7744.<\/p>\n<p>I hope this review of dividing a decimal by a whole number was helpful. Thanks for watching and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Dividing_Decimals_by_Whole_Number_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Dividing Decimals by Whole Number Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following correctly sets up \\(13.6\\div4\\) for long division?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Dividing-Decimals-Choice-A.svg\" alt=\"Long division expression with 4 as the dividend and 13.6 as the divisor.\" width=\"82\" height=\"30\" class=\"alignnone size-full wp-image-287564\"  role=\"img\" \/><\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Dividing-Decimals-Choice-B.svg\" alt=\"Long division problem showing 13.6 divided by 4.\" width=\"76\" height=\"30\" class=\"alignnone size-full wp-image-287567\"  role=\"img\" \/><\/div><div class=\"PQ\"  id=\"PQ-1-3\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Dividing-Decimals-Choice-C.svg\" alt=\"Long division setup showing 4 divided by 136, with 136 as the divisor and 4 as the dividend.\" width=\"76\" height=\"30\" class=\"alignnone size-full wp-image-287570\"  role=\"img\" \/><\/div><div class=\"PQ\"  id=\"PQ-1-4\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Dividing-Decimals-Choice-D.svg\" alt=\"A long division problem showing 136 divided by 4.\" width=\"70\" height=\"30\" class=\"alignnone size-full wp-image-287561\"  role=\"img\" \/><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The divisor, 4, is to the left of the long division symbol. The dividend, 13.6, is to its right. The decimal point remains in the division problem. <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nDivide 5.58 by 9.<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">62<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-2\">0.62<\/div><div class=\"PQ\"  id=\"PQ-2-3\">6.2<\/div><div class=\"PQ\"  id=\"PQ-2-4\">620<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, set up the problem for long division by writing the divisor, 9, to the left of the long division symbol and the dividend, 5.58, to its right. Then, write the decimal in the appropriate place in the quotient (above the long division symbol), aligned with the decimal in the dividend.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-1.0.svg\" alt=\"Long division problem showing 5.58 divided by 9, with a dot above the division bar indicating decimal placement.\" width=\"92\" height=\"49.45\" class=\"aligncenter size-full wp-image-274810\"  role=\"img\" \/><\/p>\n<p>Since 9 can\u2019t go into 5, place a zero in the quotient in the ones place. 0 times 9 equals 0, so write 0 below 5 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-1.1.svg\" alt=\"Long division problem showing 5.58 divided by 9, with 0 written above the division bar and 0 subtracted below 5.58.\" width=\"92\" height=\"92\" class=\"aligncenter size-full wp-image-274792\"  role=\"img\" \/><\/p>\n<p>Subtract 5 minus 0 which is 5, and then bring down the next digit in the dividend, which is also 5. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-1.2.svg\" alt=\"Long division problem showing 5.58 divided by 9; 0 is subtracted from 5, and 55 is brought down as the next step.\" width=\"92\" height=\"115\" class=\"aligncenter size-full wp-image-274798\"  role=\"img\" \/><\/p>\n<p>Subtract 55 minus 54, which equals 1, and then bring down the next digit in the dividend, which is 8. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-1.3.svg\" alt=\"Long division of 5.58 by 9, showing steps with subtraction of 0, then 54 from 55, and finally 18 as the remainder after subtracting 18 from 18.\" width=\"92\" height=\"169.05\" class=\"aligncenter size-full wp-image-274801\"  role=\"img\" \/><\/p>\n<p>From here, divide 9 into 18. Since 9 goes into 18 two times, write 2 in the quotient in the hundredths place. 2 times 9 equals 18, so write 18 below 18 to subtract. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-1.4.svg\" alt=\"Long division of 5.58 by 9 shows the answer 0.62, with step-by-step subtraction: 0, 55 minus 54, and 18 minus 18, resulting in no remainder.\" width=\"92\" height=\"220.8\" class=\"aligncenter size-full wp-image-274804\"  role=\"img\" \/><\/p>\n<p>18 minus 18 is 0, so there is no remainder. The quotient is 0.62, so the correct answer is B. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-1.5.svg\" alt=\"Long division of 5.58 by 9, showing the steps and resulting in the quotient 0.62 with a remainder of 0.\" width=\"92\" height=\"220.8\" class=\"aligncenter size-full wp-image-274807\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve \\(9.309\\div6\\).<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">1.5151<\/div><div class=\"PQ\"  id=\"PQ-3-2\">155.15<\/div><div class=\"PQ\"  id=\"PQ-3-3\">15.515<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">1.5515<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, set up the problem for long division by writing the divisor, 6, to the left of the long division symbol and the dividend, 9.309, to its right. Then, write the decimal in the appropriate place in the quotient (above the long division symbol), aligned with the decimal in the dividend. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.0.svg\" alt=\"Long division setup with 9.3090 divided by 6.\" width=\"117\" height=\"47\" class=\"aligncenter size-full wp-image-274813\"  role=\"img\" \/><\/p>\n<p>6 goes into 9 one time, so write 1 in the quotient in the ones place. 1 times 6 equals 6, so write 6 below 9 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.1.svg\" alt=\"Long division problem showing 9.3090 divided by 6, with 6 subtracted from 9.3090 as the first step.\" width=\"117\" height=\"87\" class=\"aligncenter size-full wp-image-274819\"  role=\"img\" \/><\/p>\n<p>Subtract 9 minus 6 which is 3, and then bring down the next digit in the dividend, which is also 3.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.2.svg\" alt=\"Long division of 9.3090 by 6, showing the first two steps: 6 goes into 9 once, subtracts 6 from 9, bringing down 3 to make 33.\" width=\"117\" height=\"112\" class=\"aligncenter size-full wp-image-274822\"  role=\"img\" \/><\/p>\n<p>Next, divide 6 into 33. Since 6 goes into 33 five times, write 5 in the quotient in the tenths place. 6 times 5 equals 30, so write 30 below 33 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.3.svg\" alt=\"Long division of 9.3090 by 6, showing steps with subtraction at each stage and a quotient of 1.5 so far.\" width=\"117\" height=\"142\" class=\"aligncenter size-full wp-image-274825\"  role=\"img\" \/><\/p>\n<p>Subtract 33 minus 30, which equals 3, and then bring down the next digit in the dividend, which is 0.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.4.svg\" alt=\"Long division of 9.3090 by 6, showing steps: 6 goes into 9 once, 6 into 33 five times, 6 into 30 five times; quotient is 1.5.\" width=\"117\" height=\"168\" class=\"aligncenter size-full wp-image-274828\"  role=\"img\" \/><\/p>\n<p>From here, divide 6 into 30. Since 6 goes into 30 five times, write 5 in the quotient in the hundredths place. 6 times 5 equals 30, so write 30 below 30 to subtract. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.5.svg\" alt=\"Long division of 9.3090 by 6, showing steps: 6 into 9 is 1, subtracting 6 leaves 3, bring down 3, 6 into 33 is 5, subtract 30, and continue process to get 1.55.\" width=\"117\" height=\"197\" class=\"aligncenter size-full wp-image-274831\"  role=\"img\" \/><\/p>\n<p>Subtract 30 minus 30, which equals 0. Then bring down the next digit in the dividend, which is 9.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.6.svg\" alt=\"Long division calculation showing 9.3090 divided by 6, resulting in 1.55 with steps detailed for each digit.\" width=\"117\" height=\"219\" class=\"aligncenter size-full wp-image-274834\"  role=\"img\" \/><\/p>\n<p>6 goes into 9 one time, so write 1 in the quotient in the thousandths place. 1 times 6 equals 6, so write 6 below the 9 to subtract. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.7.svg\" alt=\"Long division of 9.3090 by 6, showing the step-by-step process with remainders, yielding the quotient 1.551.\" width=\"117\" height=\"245\" class=\"aligncenter size-full wp-image-274837\"  role=\"img\" \/><\/p>\n<p>9 minus 6 equals 3, so there is a remainder. Since there are no remaining digits in the dividend to bring down, write a zero in the dividend\u2019s ten-thousandths place. Bring down the zero.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.8.svg\" alt=\"Long division of 9.3090 by 6, showing step-by-step subtraction, resulting in a quotient of 1.551 and a remainder of 30.\" width=\"117\" height=\"269\" class=\"aligncenter size-full wp-image-274840\"  role=\"img\" \/><\/p>\n<p>6 goes into 30 five times, so write 5 in the quotient in the ten-thousandths place. 6 times 5 equals 30, so write 30 below 30 to subtract. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.9.svg\" alt=\"Long division of 9.3090 by 6, showing each subtraction step and the quotient 1.5515 written above the dividend.\" width=\"117\" height=\"298\" class=\"aligncenter size-full wp-image-274843\"  role=\"img\" \/><\/p>\n<p>30 minus 30 is 0. The quotient is 1.5515, so the correct answer is D. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Dividing-decimals-example-2.10.svg\" alt=\"Long division of 9.3090 by 6, showing step-by-step calculations and resulting in a quotient of 1.5515 with a remainder of 0.\" width=\"117\" height=\"320\" class=\"aligncenter size-full wp-image-274846\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nKyle\u2019s grandma left $49.12 on the kitchen table. She asked Kyle to split the money into four equal groups for Kyle and his three cousins. How much money should each grandchild receive? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-4-1\">$12.28<\/div><div class=\"PQ\"  id=\"PQ-4-2\">$16.37<\/div><div class=\"PQ\"  id=\"PQ-4-3\">$122.80<\/div><div class=\"PQ\"  id=\"PQ-4-4\">$1.22<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, set up the problem for long division by writing the divisor, 4, to the left of the long division symbol and the dividend, 49.12, to its right. Then, write the decimal in the appropriate place in the quotient (above the long division symbol), aligned with the decimal in the dividend.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.0.svg\" alt=\"Long division problem showing 49.12 divided by 4.\" width=\"106\" height=\"46\" class=\"aligncenter size-full wp-image-274915\"  role=\"img\" \/><\/p>\n<p>4 goes into 4 one time, so write 1 in the quotient in the tens place. 1 times 4 equals 4, so write 4 below 4 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.1.svg\" alt=\"Long division setup showing 49.12 divided by 4, with the first subtraction step of 4 from 4 written underneath.\" width=\"106\" height=\"88\" class=\"aligncenter size-full wp-image-274912\"  role=\"img\" \/><\/p>\n<p>Subtract 4 minus 4 which is 0, and then bring down the next digit in the dividend, which is 9.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.2.svg\" alt=\"Long division problem showing 49.12 divided by 4, with 4 subtracted from 4, and 9 brought down as the next digit in the calculation.\" width=\"106\" height=\"112\" class=\"aligncenter size-full wp-image-274909\"  role=\"img\" \/><\/p>\n<p>Next, divide 4 into 9. Since 4 goes into 9 two times, write 2 in the quotient in the ones place. 2 times 4 equals 8, so write 8 below 9 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.3.svg\" alt=\"Long division of 49.12 by 4, showing 4 into 4 is 1, subtracts 4, bringing down 9 to get 09, then 4 into 9 is 2, subtracts 8.\" width=\"106\" height=\"141\" class=\"aligncenter size-full wp-image-274906\"  role=\"img\" \/><\/p>\n<p>Subtract 9 minus 8, which equals 1, and then bring down the next digit in the dividend, which is also 1.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.4.svg\" alt=\"Long division of 49.12 by 4, showing each subtraction step and bringing down digits to find the quotient 12.\" width=\"106\" height=\"166\" class=\"aligncenter size-full wp-image-274903\"  role=\"img\" \/><\/p>\n<p>From here, divide 4 into 11. Since 4 goes into 11 two times, write 2 in the quotient in the tenths place. 2 times 4 equals 8, so write 8 below 11 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.5.svg\" alt=\"Long division of 49.12 by 4, showing step-by-step subtraction and resulting in a quotient of 12.2.\" width=\"106\" height=\"195\" class=\"aligncenter size-full wp-image-274900\"  role=\"img\" \/><\/p>\n<p>Subtract 11 minus 8, which equals 3. Then bring down the next digit in the dividend, which is 2.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.6.svg\" alt=\"Long division problem showing 49.12 divided by 4, with step-by-step subtraction and bringing down of digits, resulting in a quotient of 12.28.\" width=\"106\" height=\"220\" class=\"aligncenter size-full wp-image-274897\"  role=\"img\" \/><\/p>\n<p>Next, divide 4 into 32. Since 4 goes into 32 eight times, write 8 in the quotient in the hundredths place. 8 times 4 equals 32, so write 32 below 32 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.7.svg\" alt=\"Long division of 49.12 by 4, showing step-by-step subtraction to reach the quotient 12.28.\" width=\"106\" height=\"246\" class=\"aligncenter size-full wp-image-274894\"  role=\"img\" \/><\/p>\n<p>32 minus 32 is 0, so there is no remainder. The quotient is 12.28, so each grandchild should receive $12.28. The correct answer is A. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-3.8.svg\" alt=\"Long division showing 49.12 divided by 4, resulting in 12.28 with step-by-step subtraction and remainders shown vertically.\" width=\"106\" height=\"268\" class=\"aligncenter size-full wp-image-274891\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nJames is working on a carpentry project and needs to split a 9.371-inch plank into 5 equal parts. How long should each part be? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">0.0184 inches <\/div><div class=\"PQ\"  id=\"PQ-5-2\">18.742 inches<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">1.8742 inches <\/div><div class=\"PQ\"  id=\"PQ-5-4\">0.1874 inches<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, set up the problem for long division by writing the divisor, 5, to the left of the long division symbol and the dividend, 9.371, to its right. Then, write the decimal in the appropriate place in the quotient (above the long division symbol), aligned with the decimal in the dividend.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.10.svg\" alt=\"Long division setup showing 9.371 divided by 5.\" width=\"105\" height=\"51\" class=\"aligncenter size-full wp-image-274948\"  role=\"img\" \/><\/p>\n<p>5 goes into 9 one time, so write 1 in the quotient in the ones place. 1 times 5 equals 5, so write 5 below 9 to subtract. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.9.svg\" alt=\"Long division problem showing 9.371 divided by 5, with 5 subtracted from 9 under the division bar, and the quotient starting with 1.\" width=\"105\" height=\"88\" class=\"aligncenter size-full wp-image-274945\"  role=\"img\" \/><\/p>\n<p>Subtract 9 minus 5 which is 4, and then bring down the next digit in the dividend, which is 3. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.8.svg\" alt=\"\" width=\"105\" height=\"111\" class=\"aligncenter size-full wp-image-274942\"  role=\"img\" \/><\/p>\n<p>Next, divide 5 into 43. Since 5 goes into 43 eight times, write 8 in the quotient in the tenths place. 8 times 5 equals 40, so write 40 below 43 to subtract. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.7.svg\" alt=\"Long division of 9.371 by 5, showing 1.8 as the quotient, subtraction of 5 from 9, and subtraction of 40 from 43 in the next step.\" width=\"105\" height=\"142\" class=\"aligncenter size-full wp-image-274939\"  role=\"img\" \/><\/p>\n<p>Subtract 43 minus 40, which equals 3, and then bring down the next digit in the dividend, which is 7. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.6.svg\" alt=\"Long division of 9.371 by 5, showing steps: 5 into 9, remainder 4; bring down 3 for 43, subtract 40, remainder 3; bring down 7 for 37. Partial quotient is 1.8.\" width=\"105\" height=\"166\" class=\"aligncenter size-full wp-image-274936\"  role=\"img\" \/><\/p>\n<p>From here, divide 5 into 37. Since 5 goes into 37 seven times, write 7 in the quotient in the hundredths place. 7 times 5 equals 35, so write 35 below 37 to subtract. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.5.svg\" alt=\"Long division of 9.371 by 5, showing intermediate steps: 5 into 9, 43, and 37, with partial differences 5, 40, and 35, resulting in a quotient of 1.87.\" width=\"105\" height=\"195\" class=\"aligncenter size-full wp-image-274933\"  role=\"img\" \/><\/p>\n<p>Subtract 37 minus 35, which equals 2. Then bring down the next digit in the dividend, which is 1. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.4.svg\" alt=\"Long division of 9.371 by 5, showing steps: 5 into 9 is 1, remainder 4; 5 into 43 is 8, remainder 3; 5 into 37 is 7, remainder 2; result is 1.87 with remainder 21.\" width=\"105\" height=\"218\" class=\"aligncenter size-full wp-image-274930\"  role=\"img\" \/><\/p>\n<p>Next, divide 5 into 21. Since 5 goes into 21 four times, write 4 in the quotient in the thousandths place. 4 times 5 equals 20, so write 20 below 21 to subtract. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.3.svg\" alt=\"Long division of 9.371 by 5 showing each step, resulting in the quotient 1.874 and remainder 1.\" width=\"105\" height=\"245\" class=\"aligncenter size-full wp-image-274927\"  role=\"img\" \/><\/p>\n<p>21 minus 20 equals 1, so there is a remainder. Since there are no remaining digits in the dividend to bring down, write a zero in the dividend\u2019s ten-thousandths place. Bring down the zero. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.2.svg\" alt=\"Long division of 9.3710 by 5, showing each subtraction step and the final quotient as 1.874 with a remainder of 10.\" width=\"117\" height=\"268\" class=\"aligncenter size-full wp-image-274924\"  role=\"img\" \/><\/p>\n<p>5 goes into 10 two times, so write 2 in the quotient in the ten-thousandths place. 2 times 5 equals 10, so write 10 below 10 to subtract.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.1.svg\" alt=\"Long division of 9.3710 by 5, showing steps and remainders, resulting in the quotient 1.8742.\" width=\"117\" height=\"297\" class=\"aligncenter size-full wp-image-274921\"  role=\"img\" \/><\/p>\n<p>10 minus 10 is 0. The quotient is 1.8742, so each piece should be 1.8742 inches long. The correct answer is C.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Dividing-decimals-example-4.0.svg\" alt=\"Long division of 9.3710 by 5, showing each subtraction step and the final quotient of 1.8742 with a remainder of 0.\" width=\"117\" height=\"320\" class=\"aligncenter size-full wp-image-274918\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/basic-arithmetic\/\">Return to Basic Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Basic Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":100612,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-36627","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-decimals","7":"page_category-math-advertising-group","8":"page_category-pre-algebra-rational-numbers-videos","9":"page_category-video-pages-for-study-course-sidebar-ad","10":"page_type-video","11":"content_type-practice-questions","12":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/36627","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=36627"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/36627\/revisions"}],"predecessor-version":[{"id":274816,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/36627\/revisions\/274816"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/100612"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=36627"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}