document.write( "Question 1119094: Divide 1423 By 24 In Base 5 \n" ); document.write( "

Algebra.Com's Answer #734565 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "You can do the division in base 5; you just need to know how to do addition and subtraction in base 5.

\n" ); document.write( "Since you are not familiar with base 5, it helps to start by making a list of the multiples of 24 in base 5. Of course the work must be done in base 5; you can use either addition or multiplication to make the list. As a check of your work, you can show that in base 5 \"24\" times \"5\" is \"240\".

\n" ); document.write( "24*1 = 24
\n" ); document.write( "24*2 = 24+24 = 103
\n" ); document.write( "24*3 = 103+24 = 132
\n" ); document.write( "24*4 = 132+24 = 211
\n" ); document.write( "24*4 = 211+24 = 240

\n" ); document.write( "Now you have a list of all the multiples, in base 5, of the divisor, 24. Do the long division just as in base 10, remembering that the subtractions are in base 5.

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document.write( "         32\r\n" );
document.write( "     ------\r\n" );
document.write( "  24 ) 1423\r\n" );
document.write( "       132\r\n" );
document.write( "       ----\r\n" );
document.write( "        103\r\n" );
document.write( "        103\r\n" );
document.write( "        ---\r\n" );
document.write( "          0\r\n" );
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\n" ); document.write( "1423 divided by 24 in base 5 is 32. \n" ); document.write( "

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