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	<title>Comments on: Long Division Shortcut (Part 1)</title>
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	<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/</link>
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		<title>By: Brian</title>
		<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/comment-page-1/#comment-173098</link>
		<dc:creator>Brian</dc:creator>
		<pubDate>Sat, 13 Feb 2010 00:08:52 +0000</pubDate>
		<guid isPermaLink="false">http://mathmojo.com/chronicles/2007/08/22/long-division-shortcut/#comment-173098</guid>
		<description>I&#039;d love to help, but the question is kind of vague. What exactly do you have problems with? Have you read all the related posts about division in this blog? Have you checked out &quot;&lt;a href=&quot;http://mathmojo.com/interestinglessons/prime_factorization/pretty_good_guide_to_prime_factorization.html&quot; rel=&quot;nofollow&quot;&gt;The Pretty Good Guide to Prime Factorization&lt;/a&gt;&quot; or &quot;&lt;a href=&quot;http://www.mathmojo.com/basic_operations/division_mojo/long_division/long_division.html&quot; rel=&quot;nofollow&quot;&gt;An Easy Way to do Long Division&lt;/a&gt;&quot; at mathmojo.com? That last one should clear most stuff up for you. Leave a comment and let me know if it helped.</description>
		<content:encoded><![CDATA[<p>I&#8217;d love to help, but the question is kind of vague. What exactly do you have problems with? Have you read all the related posts about division in this blog? Have you checked out &#8220;<a href="http://mathmojo.com/interestinglessons/prime_factorization/pretty_good_guide_to_prime_factorization.html" rel="nofollow">The Pretty Good Guide to Prime Factorization</a>&#8221; or &#8220;<a href="http://www.mathmojo.com/basic_operations/division_mojo/long_division/long_division.html" rel="nofollow">An Easy Way to do Long Division</a>&#8221; at mathmojo.com? That last one should clear most stuff up for you. Leave a comment and let me know if it helped.</p>
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	<item>
		<title>By: rashmi</title>
		<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/comment-page-1/#comment-173097</link>
		<dc:creator>rashmi</dc:creator>
		<pubDate>Fri, 12 Feb 2010 23:52:17 +0000</pubDate>
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		<description>hi i ve doubts in division methods kindly help me</description>
		<content:encoded><![CDATA[<p>hi i ve doubts in division methods kindly help me</p>
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		<title>By: MR. PIERRE F CICERONJEAN</title>
		<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/comment-page-1/#comment-150544</link>
		<dc:creator>MR. PIERRE F CICERONJEAN</dc:creator>
		<pubDate>Fri, 10 Jul 2009 17:45:16 +0000</pubDate>
		<guid isPermaLink="false">http://mathmojo.com/chronicles/2007/08/22/long-division-shortcut/#comment-150544</guid>
		<description>The bottom line of a division is typically a fraction, which conversely leads to division.  The technique of &quot;short division&quot; is an interchange between division and fraction formats.  Division is inverse to multiplication--we may multiply by zero but we cannot divide by zero.  Short division is usually performed in reverse of multiplication.  By far, when we refer to the division algorithm (use of multiplication and subtraction as support to division) both &quot;short division&quot; and &quot;long division&quot; use the border line formula of d=qxd+r.  We can divide by &quot;d&quot; (divisor) in the formula where the fractional format compensates for the divisional context as one converging procedure.
D/d=q+r/d when d is not equal to zero.  By and large, a short division means r=0 in the division formula where, typically, &quot;d&quot; can go &quot;evenly&quot; into &quot;D&quot; (dividend) as a result for &quot;q&quot; (the quotient of the division)--which interconnects multiplication and division as two inverse operations.  When we &quot;short&quot; divide, we just turn any division into a fraction and we perform some canceling based on prime factorization as a shortcut to any division.

Notice: 
Think about equivalent fractions, conversions of a fraction into decimal, percent or conversion of an improper fraction into a mixed number, repeating decimals, and so on and so forth.


</description>
		<content:encoded><![CDATA[<p>The bottom line of a division is typically a fraction, which conversely leads to division.  The technique of &#8220;short division&#8221; is an interchange between division and fraction formats.  Division is inverse to multiplication&#8211;we may multiply by zero but we cannot divide by zero.  Short division is usually performed in reverse of multiplication.  By far, when we refer to the division algorithm (use of multiplication and subtraction as support to division) both &#8220;short division&#8221; and &#8220;long division&#8221; use the border line formula of d=qxd+r.  We can divide by &#8220;d&#8221; (divisor) in the formula where the fractional format compensates for the divisional context as one converging procedure.<br />
D/d=q+r/d when d is not equal to zero.  By and large, a short division means r=0 in the division formula where, typically, &#8220;d&#8221; can go &#8220;evenly&#8221; into &#8220;D&#8221; (dividend) as a result for &#8220;q&#8221; (the quotient of the division)&#8211;which interconnects multiplication and division as two inverse operations.  When we &#8220;short&#8221; divide, we just turn any division into a fraction and we perform some canceling based on prime factorization as a shortcut to any division.</p>
<p>Notice:<br />
Think about equivalent fractions, conversions of a fraction into decimal, percent or conversion of an improper fraction into a mixed number, repeating decimals, and so on and so forth.</p>
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	<item>
		<title>By: Long Division Shortcut Hint &#124; The Math Mojo Chronicles</title>
		<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/comment-page-1/#comment-142608</link>
		<dc:creator>Long Division Shortcut Hint &#124; The Math Mojo Chronicles</dc:creator>
		<pubDate>Sat, 06 Jun 2009 01:46:40 +0000</pubDate>
		<guid isPermaLink="false">http://mathmojo.com/chronicles/2007/08/22/long-division-shortcut/#comment-142608</guid>
		<description>[...] Long division shortcut Part 1 [...]</description>
		<content:encoded><![CDATA[<p>[...] Long division shortcut Part 1 [...]</p>
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	<item>
		<title>By: Brian</title>
		<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/comment-page-1/#comment-94586</link>
		<dc:creator>Brian</dc:creator>
		<pubDate>Tue, 16 Sep 2008 05:23:02 +0000</pubDate>
		<guid isPermaLink="false">http://mathmojo.com/chronicles/2007/08/22/long-division-shortcut/#comment-94586</guid>
		<description>Ah, that is a very good question, Mairajul. You can find the answer in the next post of this thread: &lt;a href=&quot;http://mathmojo.com/chronicles/2007/08/23/long-division-shortcut-2/&quot; rel=&quot;nofollow&quot;&gt; Long Division Shortcut Part 2&lt;/a&gt;</description>
		<content:encoded><![CDATA[<p>Ah, that is a very good question, Mairajul. You can find the answer in the next post of this thread: <a href="http://mathmojo.com/chronicles/2007/08/23/long-division-shortcut-2/" rel="nofollow"> Long Division Shortcut Part 2</a></p>
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	<item>
		<title>By: mairajul haq</title>
		<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/comment-page-1/#comment-94584</link>
		<dc:creator>mairajul haq</dc:creator>
		<pubDate>Tue, 16 Sep 2008 04:39:14 +0000</pubDate>
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		<description>if i have an odd number then how to solve this problem. Whenever ur solution only for even number. pl. suggest me</description>
		<content:encoded><![CDATA[<p>if i have an odd number then how to solve this problem. Whenever ur solution only for even number. pl. suggest me</p>
]]></content:encoded>
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	<item>
		<title>By: Anna</title>
		<link>http://www.mathmojo.com/chronicles/2007/08/22/long-division-shortcut-1/comment-page-1/#comment-15544</link>
		<dc:creator>Anna</dc:creator>
		<pubDate>Wed, 22 Aug 2007 19:07:32 +0000</pubDate>
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		<description>Brian--  You fascinate me!  You are turning me into some sort of freak math groupie!

Anna</description>
		<content:encoded><![CDATA[<p>Brian&#8211;  You fascinate me!  You are turning me into some sort of freak math groupie!</p>
<p>Anna</p>
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