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192 lines
8.0 KiB
HTML
192 lines
8.0 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/long_division2.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:45:29 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Long Division With Remainders</title>
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="index.html"><img src="images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<center>
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<h1>Long Division with Remainders</h1>
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</center>
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<p>When we are given a long division to do it will not always work out to a
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whole number.</p>
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<p>Sometimes there are numbers left over. These are called <b>remainders</b>.</p>
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<p>Taking an example similar to that on the <a href="long_division.html">Long
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Division</a> page it becomes more clear:</p>
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<p class="center"><img src="numbers/images/divide-435-25.svg" alt="long division 435 / 25" height="71" width="224"></p>
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<p class="center"><i>(If you feel happy with the process on the Long Division page you can
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<a href="#skip">skip</a> the first bit.)</i></p>
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<table cellspacing="0" cellpadding="5" border="1">
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<tbody>
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<tr>
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<td><img src="images/divide15.gif" alt="divide step 1" height="60" width="100"></td>
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<td align="center" width="140">4 ÷ 25 = 0 remainder 4</td>
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<td>The first number of the dividend is divided by the divisor.</td>
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</tr>
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<tr>
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<td><img src="images/divide16.gif" alt="divide step 2" height="60" width="100"></td>
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<td style="text-align:center;"> </td>
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<td>The whole number result is placed at the top. Any remainders are
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ignored at this point. </td>
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</tr><tr>
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</tr><tr>
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<td><img src="images/divide17.gif" alt="divide step 3" height="100" width="100"></td>
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<td style="text-align:center;">25 × 0 = 0</td>
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<td>The answer from the first operation is multiplied by the divisor.
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The result is placed under the number divided into.</td>
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</tr>
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<tr>
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<td><img src="images/divide18.gif" alt="divide step 4" height="100" width="100"></td>
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<td style="text-align:center;">4 − 0 = 4</td>
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<td>Now we <b>take away</b> the bottom number from the top number.</td>
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</tr>
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<tr>
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<td><img src="images/divide19.gif" alt="divide step 5" height="100" width="100"></td>
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<td style="text-align:center;"> </td>
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<td>Bring down the next number of the dividend.</td>
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</tr>
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<tr>
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<td><img src="images/divide20.gif" alt="divide step 6" height="100" width="100"></td>
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<td style="text-align:center;">43 ÷ 25 = 1 remainder 18</td>
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<td>Divide this number by the divisor.</td>
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</tr>
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<tr>
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<td><img src="images/divide21.gif" alt="divide step 7" height="100" width="100"></td>
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<td style="text-align:center;"> </td>
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<td>The whole number result is placed at the top. Any remainders are
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ignored at this point. </td>
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</tr><tr>
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</tr><tr>
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<td><img src="images/divide22.gif" alt="divide step 8" height="150" width="100"></td>
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<td style="text-align:center;">25 × 1 = 25</td>
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<td>The answer from the above operation is multiplied by the divisor.
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The result is placed under the last number divided into.</td>
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</tr>
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<tr>
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<td><img src="images/divide23.gif" alt="divide step 9" height="150" width="100"></td>
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<td style="text-align:center;">43 − 25 = 18</td>
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<td>Now we <b>take away</b> the bottom number from the top number.</td>
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</tr>
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<tr>
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<td><img src="images/divide24.gif" alt="divide step 10" height="150" width="100"></td>
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<td style="text-align:center;"> </td>
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<td>Bring down the next number of the dividend.</td>
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</tr>
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<tr>
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<td><img src="images/divide25.gif" alt="divide step 11" height="150" width="100"></td>
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<td style="text-align:center;">185 ÷ 25 = 7 remainder 10</td>
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<td>Divide this number by the divisor.</td>
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</tr>
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<tr>
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<td><img src="images/divide26.gif" alt="divide step 12" height="150" width="100"></td>
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<td style="text-align:center;"> </td>
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<td>The whole number result is placed at the top. Any remainders are
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ignored at this point.</td>
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</tr><tr>
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</tr><tr>
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<td><img src="images/divide27.gif" alt="divide step 13" height="150" width="100"></td>
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<td style="text-align:center;">25 × 7 = 175</td>
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<td>The answer from the above operation is multiplied by the divisor.
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The result is placed under the number divided into.<a name="skip" id="skip"></a></td>
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</tr>
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<tr>
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<td><img src="images/divide28.gif" alt="divide step 14" height="175" width="100"></td>
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<td style="text-align:center;">185 − 175 = 10</td>
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<td>Now we <b>take away</b> the bottom number from the top number.</td>
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</tr>
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<tr>
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<td> </td>
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<td style="text-align:center;"> </td>
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<td><b>There is still 10 left over</b> but no more numbers to bring down.</td>
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</tr>
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<tr>
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<td><img src="images/divide29.gif" alt="divide step 15" height="175" width="100"></td>
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<td style="text-align:center;"> </td>
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<td>
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<p>With a long division with remainders the answer is expressed as
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<b>17 remainder 10</b> as shown in the diagram</p>
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<p> </p>
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<p class="center larger">Answer: 435 ÷ 25 = <b>17 R 10</b></p></td>
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</tr>
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</tbody></table>
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<p> </p>
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<div class="questions">1651, 1652, 1653, 1654, 1655, 1656, 3437, 3438, 3439, 3440</div>
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<div class="related">
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<a href="long_division.html">Long Division</a>
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<a href="long_division3.html">Long Division To Decimal Places</a>
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<a href="numbers/long-division-index.html">Long Division Index</a>
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<a href="numbers/index.html">Numbers Index</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="copyrt">Copyright © 2022 Rod Pierce</div>
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</div>
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</body><!-- #EndTemplate -->
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