Question

90,002. divided by 32

Answer 1

2,812.5625 is the answer to that question

Answer 2

We want the greatest common divisor first...
So lets prime factorize

$90002\mathrm{\:is\:divisible\:by\:}2\:\mathrm{and\:equal\:to\:}45001\cdot \:2\mathrm{,\:therefore} \ \textgreater \ 2\cdot \:45001$

$45001\mathrm{\:is\:divisible\:by\:}11\:\mathrm{and\:equal\:to\:}4091\cdot \:11\mathrm{,\:therefore} \ \textgreater \ 2\cdot \:11\cdot \:4091$

$2,\:11,\:4091\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization}$
$2\cdot \:11\cdot \:4091$

$32\mathrm{\:is\:divisible\:by\:}2\:\mathrm{and\:equal\:to\:}16\cdot \:2\mathrm{,\:therefore} \ \textgreater \ 2\cdot \:16$

$16\mathrm{\:is\:divisible\:by\:}2\:\mathrm{and\:equal\:to\:}8\cdot \:2\mathrm{,\:therefore} \ \textgreater \ 2\cdot \:2\cdot \:8$

$8\mathrm{\:is\:divisible\:by\:}2\:\mathrm{and\:equal\:to\:}4\cdot \:2\mathrm{,\:therefore} \ \textgreater \ 2\cdot \:2\cdot \:2\cdot \:4$

$4\mathrm{\:is\:divisible\:by\:}2\:\mathrm{and\:equal\:to\:}2\cdot \:2\mathrm{,\:therefore} \ \textgreater \ 2\cdot \:2\cdot \:2\cdot \:2\cdot \:2$

$2\mathrm{\:is\:a\:prime\:number,\:therefore\:no\:further\:factorization\:is\:possible}$
$2\cdot \:2\cdot \:2\cdot \:2\cdot \:2 \ \textgreater \ 2^5$

$So...\mathrm{The\:prime\:factors\:common\:to\:}90002,\:32\mathrm{\:are\:}2$

$\mathrm{Factor\:out\:}2\mathrm{\:from\:the\:numerator\:and\:the\:denominator}$
$90002=2\cdot \:45001\mathrm{,\ }32=2\cdot \:16$

$\frac{2\cdot \:45001}{2\cdot \:16} \ \textgreater \ \mathrm{Cancel\:the\:common\:factor:}\:2 \ \textgreater \ \frac{45001}{16}$

Or in decimal form > 2812.562!

Hope this helps!