{"id":1136,"date":"2013-06-06T07:02:52","date_gmt":"2013-06-06T07:02:52","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=1136"},"modified":"2026-03-25T15:17:27","modified_gmt":"2026-03-25T20:17:27","slug":"dividing-decimals","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/dividing-decimals\/","title":{"rendered":"How to Divide Decimals"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_8-lj_os7zzU\" 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_8-lj_os7zzU\" data-source-videoID=\"8-lj_os7zzU\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"How to Divide Decimals Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"How to Divide Decimals\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_8-lj_os7zzU:hover {cursor:pointer;} img#videoThumbnailImage_8-lj_os7zzU {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/725-how-to-divide-decimals-2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_8-lj_os7zzU\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_8-lj_os7zzU\" 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\",\"How to Divide Decimals\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_8-lj_os7zzU\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_8-lj_os7zzU\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_8-lj_os7zzU\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction gA4_Function() {\n  var x = document.getElementById(\"gA4\");\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=\"gA4_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=\"gA4\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Dividing_Decimals\" class=\"smooth-scroll\">Dividing Decimals<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Dividing_Decimals_by_Decimals\" class=\"smooth-scroll\">Dividing Decimals by Decimals<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Dividing_Decimals_PDF\" class=\"smooth-scroll\">Dividing Decimals PDF<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Dividing_Decimals_Problems\" class=\"smooth-scroll\">Dividing Decimals Problems<\/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=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"factsheet\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"factsheet\">Fact Sheet<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label><a href=\"https:\/\/www.mometrix.com\/academy\/decimal-calculator\" target=\"none\" style=\"margin: 0 auto;\"><span class=\"accordion_calculator_button\">Calculator<\/span><\/a><\/p>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey, guys! Welcome to this video on dividing decimals! Dividing decimals may not seem like the most useful tool, but it can actually come in handy for several situations in everyday life.<\/p>\n<p>Now, you may be wondering when dividing decimals would ever be useful. Well, let\u2019s say you had $26.84 in your bank account and you wanted to buy gas for your car without going over your budget. Each gallon costs $3.69 and you\u2019d like to tell the attendant how many gallons to put in your car. How many gallons of gas should you ask for?<\/p>\n<p>Or let&#8217;s say you are constructing a house, and need pieces of wood that are 4.85 feet long. The local store sells large beams of wood that are 28 feet long. At the store, you wonder: how many pieces of wood can you cut out of each beam?<\/p>\n<p>Having the ability to divide numbers with decimals would help you in these situations.<\/p>\n<h2><span id=\"Dividing_Decimals\" class=\"m-toc-anchor\"><\/span>Dividing Decimals<\/h2>\n<p>\nLet\u2019s start with a basic example. Say you wanted to divide 4.5 by .5.<\/p>\n<p>Your first step would be to write out the problem as you would any other long division problem. It should look like this:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/division-01.svg\" alt=\"\" width=\"94.6\" height=\"35.2\" class=\"aligncenter size-full wp-image-198425\"  role=\"img\" \/><\/p>\n<p>When solving this problem, it would be significantly easier to work with <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/numbers-and-their-classifications\/\">whole numbers<\/a> instead of numbers with decimals. <\/p>\n<p>The simplest way to accomplish this is by multiplying each number in the expression by 10. As a general rule, every time you multiply a number by 10, you are essentially moving the decimal point over one place to the right. If we multiply .5 and 4.5 by 10, we get:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/06\/division-02.svg\" alt=\"\" width=\"94.6\" height=\"35.2\" class=\"aligncenter size-full wp-image-218968\"  role=\"img\" \/><\/p>\n<p>Now, you would solve <span style=\"font-style:normal; font-size:90%\">\\(45\\div 5\\)<\/span> as you normally would. Since this is a relatively straightforward problem, we don\u2019t need to go through the steps of long division. <span style=\"font-style:normal; font-size:90%\">\\(5\\times 9=45\\)<\/span>.<\/p>\n<p>You may be wondering if we need to do something to modify this answer. After all, we did change both numbers in our expression. How can the answer be correct for our original expression? However, if you pull out your calculator, you will see that dividing 4.5 by .5, our original expression, also yields 9, just like dividing 45 by 5.<\/p>\n<h2><span id=\"Dividing_Decimals_by_Decimals\" class=\"m-toc-anchor\"><\/span>Dividing Decimals by Decimals<\/h2>\n<p>\nLet\u2019s try a more complicated example: we\u2019ll divide <span style=\"font-style:normal; font-size:90%\">\\(15.75\\div 3.5\\)<\/span>.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/division-03.svg\" alt=\"\" width=\"136.4\" height=\"35.2\" class=\"aligncenter size-full wp-image-198431\"  role=\"img\" \/><\/p>\n<p>The first step is to <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/addition-subtraction-multiplication-and-division\/\">multiply<\/a> each number by 10 in order to turn these numbers with decimals into whole numbers. Starting with 3.5, that would give us 35. However, if we look at the other number in our expression, 15.75, we notice that multiplying it by 10 once does not suffice. That would give us 157.5, which is still not a whole number. So then what do we do in this instance?<\/p>\n<p>Remember a key rule in dividing numbers with decimals\u2014you need to do the same thing to both numbers in the expression. To make 15.75 a whole number, we need to multiply it by 10 twice, or, you could say, we need to multiply it by 100. That in effect moves the decimal place over two places to the right, giving us 1,575.<\/p>\n<p>As we mentioned, we need to do the same thing to both numbers, so now we multiply 3.5 by 10 twice (or by 100). We move the decimal over two places to the right, and add a zero to fill the empty place. So now we have <span style=\"font-style:normal; font-size:90%\">\\(1,575\\div 350\\)<\/span>.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/division-04.svg\" alt=\"\" width=\"147.4\" height=\"35.2\" class=\"aligncenter size-full wp-image-198434\"  role=\"img\" \/><\/p>\n<p>The problem is now long division. 350 does not go into 1, 15, or 157, so we need to guess how many times it goes into 1,575. 350 goes into 1,000 around 3 times, so 4 would be a good estimate for the number of times it goes into 1,575. Let\u2019s do some quick multiplication to double-check. <span style=\"font-style:normal; font-size:90%\">\\(350\\times 4\\)<\/span>.<\/p>\n<p>So when we multiply, <span style=\"font-style:normal; font-size:90%\">\\(4\\times 0=0\\)<\/span>, and we multiply <span style=\"font-style:normal; font-size:90%\">\\(4\\times 5\\)<\/span> to get \\(20\\). Carry the \\(2\\), <span style=\"font-style:normal; font-size:90%\">\\(4\\times 3=12\\)<\/span>, then we add the \\(2\\), which gives us \\(14\\). So then we have \\(1,400\\), which is the best fit we\u2019re going to get into \\(1,575\\). So now we write \\(4\\) above our \\(5\\), so now we have <span style=\"font-style:normal; font-size:90%\">\\(1,575-1,400\\)<\/span>, which leaves us with \\(175\\) left over.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/division-05.svg\" alt=\"\" width=\"147.4\" height=\"127.6\" class=\"aligncenter size-full wp-image-198437\"  role=\"img\" \/><\/p>\n<p>So now we want to be sure to add a decimal after the 4 on the top as well.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/division-06.svg\" alt=\"\" width=\"167.2\" height=\"127.6\" class=\"aligncenter size-full wp-image-198440\"  role=\"img\" \/><\/p>\n<p>Now we divide <span style=\"font-style:normal; font-size:90%\">\\(1,750\\div 350\\)<\/span> with some trial and error. Given that we saw before that <span style=\"font-style:normal; font-size:90%\">\\(350\\times 4=1,400\\)<\/span>, we can see that <span style=\"font-style:normal; font-size:90%\">\\(350\\times 5\\)<\/span> is going to give us exactly \\(1,750\\), which means that we add a \\(5\\) right after the decimal place right next to our \\(4\\). This gives us a final answer of \\(4.5\\).<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/division-07.svg\" alt=\"\" width=\"167.2\" height=\"189.2\" class=\"aligncenter size-full wp-image-198422\"  role=\"img\" \/><\/p>\n<p>While dividing decimals may have seemed daunting at first, remember that it is essentially the same as regular long division. Don\u2019t forget the strategy we discussed in order to turn our numbers with decimals into whole numbers: multiply both numbers in the expression by a multiple of 10 to move the decimal point over as many times as necessary. Treat both numbers the exact same way and you\u2019ll be sure to end up with the correct answer.<\/p>\n<p>I hope that this video was helpful! See you guys next time!<\/p>\n<div style=\"text-align: center;\"><a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/adding-and-subtracting-decimals\/\">Adding and Subtracting Decimals<\/a> | <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/multiplying-decimals\/\">Multiplying Decimals<\/a><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you divide decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Divide decimals by multiplying both numbers by a factor of 10 so the divisor no longer has a decimal value. Then, use long division to divide as normal. Place the decimal point in the quotient directly above the decimal point in the dividend.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Divide \\(7.205 \\div 0.05 \\). <\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">Multiply both by 100 to get rid of the decimal part in the divisor.<\/p>\n<p style=\"text-align: center\">\\(720.5 \\div 5\\)<\/p>\n<p>Then, use long division to divide.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" style=\"margin-bottom: -1.2em\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-9.svg\" alt=\"Long division of 720.5 by 5, showing steps and resulting in the quotient 144.1 with no remainder.\" width=\"103\" height=\"269\" class=\"aligncenter size-full wp-image-286528\"  role=\"img\" \/><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you divide decimals by whole numbers?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Divide decimals by whole numbers the same way you divide whole numbers by each other, but put the decimal point in the answer at the same place it is at in the original number. <\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Divide \\(8.342 \\div 2\\).<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-1.svg\" alt=\"Long division of 8.342 by 2, showing step-by-step subtraction and resulting in the quotient 4.171.\" width=\"103\" height=\"269\" class=\"aligncenter size-full wp-image-286510\"  role=\"img\" \/><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you divide decimals without a calculator?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Divide decimals using long division, being sure to multiply by a product of 10 if there is a decimal in the divisor. Place the decimal point in the quotient directly above where it is in the dividend.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Divide \\(182.35 \\div 0.5\\).<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">First, multiply both numbers by 10 so there is no longer a decimal in the divisor (0.5).<\/p>\n<p style=\"text-align: center\">\\(1{,}823.5 \\div 5\\)<\/p>\n<p>Then, use long division to divide.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" style=\"margin-bottom: -1.2em\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-2.svg\" alt=\"Long division of 1,823.5 by 5, showing each subtraction step and resulting in the quotient 364.7 with no remainder.\" width=\"116\" height=\"269\" class=\"aligncenter size-full wp-image-286513\"  role=\"img\" \/><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you divide decimals using models?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>To divide decimals using models, first shade in the first number, your dividend. Then, circle groups of the second number, your divisor. The number of circled groups is your answer, or quotient.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Divide \\(2.5 \\div 0.5\\).<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter  wp-image-63130\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2020\/12\/FAQ-Dividing-Decimals-4.png\" alt=\"\" width=\"516\" height=\"449\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2020\/12\/FAQ-Dividing-Decimals-4.png 1733w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2020\/12\/FAQ-Dividing-Decimals-4-300x261.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2020\/12\/FAQ-Dividing-Decimals-4-1024x890.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2020\/12\/FAQ-Dividing-Decimals-4-768x667.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2020\/12\/FAQ-Dividing-Decimals-4-1536x1335.png 1536w\" sizes=\"auto, (max-width: 516px) 100vw, 516px\" \/><\/p>\n<p style=\"margin-bottom: 0em\">There are five groups, so \\(2.5 \\div 0.5 = 5\\).<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What do you do with a remainder when dividing decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>If there is a remainder when dividing decimals, add zeroes to the end of the dividend and keep dividing until there is no remainder.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Divide \\(9.67 \\div 5\\).<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-3.svg\" alt=\"Long division of 9.670 by 5, showing each subtraction step, resulting in the quotient 1.934 and remainder 0.\" width=\"103\" height=\"269\" class=\"aligncenter size-full wp-image-286516\"  role=\"img\" \/><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Dividing_Decimals_PDF\" class=\"m-toc-anchor\"><\/span>Dividing Decimals PDF<\/h2>\n<p>Improve your math skills with our comprehensive fact sheet on how to divide decimals.<\/p>\n<div>\n\t\t\t\t\t<img width=\"1360\" height=\"1766\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_111943.png\" class=\"attachment-full size-full\" alt=\"An infographic on dividing decimals, showing steps and examples including 45.6 \u00f7 4.5 and 12.34 \u00f7 2.3. It features a division problem breaking down $66.24 among three people. Includes a QR code for more info.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_111943.png 1360w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_111943-231x300.png 231w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_111943-789x1024.png 789w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_111943-768x997.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_111943-1183x1536.png 1183w\" sizes=\"auto, (max-width: 1360px) 100vw, 1360px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/How-to-Divide-Decimals-Fact-Sheet.pdf\"><span id=\"Your_Dividing_Decimals_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your Dividing Decimals PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Dividing_Decimals_Problems\" class=\"m-toc-anchor\"><\/span>Dividing Decimals Problems<\/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 \/>\nWhat is \\(23.95 \\div 5\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">3.76<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">4.79<\/div><div class=\"PQ\"  id=\"PQ-1-3\">6.42<\/div><div class=\"PQ\"  id=\"PQ-1-4\">5.87<\/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>To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-4.svg\" alt=\"Long division of 23.95 by 5, showing steps and resulting in a quotient of 4.79 with a remainder of 0.\" width=\"102\" height=\"216\" class=\"aligncenter size-full wp-image-286519\"  role=\"img\" \/><\/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 \/>\nWhat is \\(1.437 \\div 2\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">2.136<\/div><div class=\"PQ\"  id=\"PQ-2-2\">2.874<\/div><div class=\"PQ\"  id=\"PQ-2-3\">0.2413<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-4\">0.7185<\/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>To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend.<\/p>\n<p>If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-5.svg\" alt=\"Long division of 1.4370 by 2, showing each subtraction step, resulting in a quotient of 0.7185 and a final remainder of 0.\" width=\"117\" height=\"269\" class=\"aligncenter size-full wp-image-286522\"  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 \/>\nWhat is \\(69.27 \\div 0.3\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">230.9<\/div><div class=\"PQ\"  id=\"PQ-3-2\">176.3<\/div><div class=\"PQ\"  id=\"PQ-3-3\">17.63<\/div><div class=\"PQ\"  id=\"PQ-3-4\">23.09<\/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, multiply both numbers by 10 to get rid of the decimal part in the divisor.<\/p>\n<p style=\"text-align: center\">\\(692.7 \\div 3\\)<\/p>\n<p>Then, use long division to divide.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-6.svg\" alt=\"Long division showing 692.7 divided by 3, with subtraction steps and arrows indicating each calculation, resulting in a quotient of 230.9 and remainder 0.\" width=\"104\" height=\"217\" class=\"aligncenter size-full wp-image-286525\"  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 \/>\nWhat is \\(18.69 \\div 0.005\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">3.738<\/div><div class=\"PQ\"  id=\"PQ-4-2\">1.297<\/div><div class=\"PQ\"  id=\"PQ-4-3\">1,297<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">3,738<\/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>The correct answer is 3,738. First, multiply both numbers by 1,000 to get rid of the decimal part in the divisor.<\/p>\n<p style=\"text-align: center\">\\(18{,}690 \\div 5\\)<\/p>\n<p>Then, use long division to divide.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-7.svg\" alt=\"Long division of 18,690 by 5 is shown, resulting in a quotient of 3,738 with a remainder of 0.\" width=\"116\" height=\"269\" class=\"aligncenter size-full wp-image-286504\"  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 \/>\nWhat is \\(1.329 \\div 0.06\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">0.2215<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-2\">22.15<\/div><div class=\"PQ\"  id=\"PQ-5-3\">0.1473<\/div><div class=\"PQ\"  id=\"PQ-5-4\">14.73<\/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, multiply both numbers by 100 to get rid of the decimal part in the divisor.<\/p>\n<p style=\"text-align: center\">\\(132.9 \\div 6\\)<\/p>\n<p>Then, use long division to divide.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Dividing-Decimals-Long-Division-Example-8.svg\" alt=\"Long division of 132.90 by 6, showing each step, with a final quotient of 22.15 and a remainder of 0.\" width=\"118\" height=\"267\" class=\"aligncenter size-full wp-image-286507\"  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\/complex-arithmetic\/\">Return to Complex Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Complex Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":99790,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-1136","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-decimals-complex-arithmetic-videos","7":"page_category-math-advertising-group","8":"page_type-video","9":"content_type-fact-sheet","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1136","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=1136"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1136\/revisions"}],"predecessor-version":[{"id":198446,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1136\/revisions\/198446"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99790"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=1136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}