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183 lines
8.8 KiB
HTML
183 lines
8.8 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_division.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:45:07 GMT -->
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<head>
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<!-- #BeginEditable "doctitle" -->
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<title>Long Division</title>
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<style type="text/css">
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.divd { color: #800080; font-weight: 500; }
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.divr { color: #0000FF; font-weight: 500; }
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</head>
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<body id="bodybg">
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<div class="bg">
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<div id="stt"></div>
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<div id="hdr"></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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<a href="about-ads.html">About Ads</a></div>
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<div id="content" role="main"><!-- #BeginEditable "Body" -->
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<h1 align="center">Long Division</h1>
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<p align="center"><i>Below
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is the process written out in full.<br />
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You will often see other versions, which are generally just a shortened version of the process below</i>. <i><br />
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You can also see this done in <a href="numbers/long-division-animation.html"> Long Division Animation</a>.</i></p>
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<p>Let's see how
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it is done with:</p>
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<p class="center"> <img src="numbers/images/divide-425-25.svg" alt="long division 425 / 25" /></p>
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<ul>
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<li>the number to be divided into is called the <b class="divd">dividend</b></li><li>The number which divides the other number is called the <b class="divr">divisor</b></li>
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</ul>
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<p><i>And here we go:</i><br />
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</p>
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<table border="1" cellspacing="0" cellpadding="5" >
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<tr><td><img src="images/divide1.gif" width="100" height="60" alt="divide step 1" /></td>
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<td width="120" align="center">4 ÷ 25 = 0 remainder
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4</td>
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<td>The first digit of the <span class="divd">dividend</span> (4) is divided by the <font color="Blue" class="divr">divisor</font>.</td>
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</tr>
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<tr>
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<td><img src="images/divide2.gif" width="100" height="60" alt="divide step 2" /></td>
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<td align="center"> </td>
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<td>The whole number result is placed at the top. Any remainders
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are 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/divide3.gif" width="100" height="100" alt="divide step 3" /></td>
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<td align="center">25 × 0 = 0</td>
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<td>The answer from the first operation is <b>multiplied</b> by the <span class="divr">divisor</span>.
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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/divide4.gif" width="100" height="100" alt="divide step 4" /></td>
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<td align="center">4 − 0 = 4</td>
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<td>Now we <b>subtract</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/divide5.gif" width="100" height="100" alt="divide step 5" /></td>
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<td align="center"> </td>
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<td>Bring down the next digit of the dividend.</td>
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</tr>
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<tr>
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<td><img src="images/divide6.gif" width="100" height="100" alt="divide step 6" /></td>
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<td align="center">42 ÷ 25 = 1 remainder 17</td>
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<td><b>Divide</b> this number by the divisor.</td>
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</tr>
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<tr>
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<td><img src="images/divide7.gif" width="100" height="100" alt="divide step 7" /></td>
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<td align="center"> </td>
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<td>The whole number result is placed at the top. Any remainders
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are 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/divide8.gif" width="100" height="150" alt="divide step 8" /></td>
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<td align="center">25 × 1 = 25</td>
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<td>The answer from the above operation is <b>multiplied</b> 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/divide9.gif" width="100" height="150" alt="divide step 9" /></td>
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<td align="center">42 − 25 = 17</td>
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<td>Now we <b>subtract</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/divide10.gif" width="100" height="150" alt="divide step 10" /></td>
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<td align="center"> </td>
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<td>Bring down the next digit of the dividend.</td>
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</tr>
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<tr>
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<td><img src="images/divide11.gif" width="100" height="150" alt="divide step 11" /></td>
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<td align="center">175 ÷ 25 = 7 remainder 0</td>
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<td><b>Divide</b> this number by the divisor.</td>
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</tr>
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<tr>
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<td><img src="images/divide12.gif" width="100" height="150" alt="divide step 12" /></td>
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<td align="center"> </td>
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<td>The whole number result is placed at the top. Any remainders
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are 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/divide13.gif" width="100" height="150" alt="divide step 13" /></td>
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<td align="center">25 × 7 = 175</td>
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<td>The answer from the above operation is <b>multiplied</b> 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/divide14.gif" width="100" height="175" alt="divide step 14" /></td>
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<td align="center">175 − 175 = 0</td>
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<td>Now we <b>subtract</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 align="center"> </td>
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<td class="Larger"><b>There are no more digits to bring down.
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The answer must be 17</b></td>
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</tr>
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</table>
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<p> </p>
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<div class="questions">
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<a href="worksheets/long-division.html">Long Division Worksheets</a><br>
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<script type="text/javascript">getQ(1639, 1640, 1641, 1642, 1643, 1644, 1841, 1842, 1843);</script>
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</div>
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<div class="related">
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<a href="long_division2.html">Long Division With Remainders</a>
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<a href="long_division3.html">Long Division To Decimal Places</a>
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<a href="numbers/division.html">Division</a>
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<a href="algebra/polynomials-division-long.html">Polynomial Long Division</a>
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<a href="worksheets/long-division.html">Long Division Worksheets</a>
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</div>
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Copyright © 2017 MathsIsFun.com
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