writing division with latex

sah_mat · #1 $Old$ December 18th, 2008, 08:41 AM

ı want to write a code with latex which can give me the solution of a division with a picture.
ı aimed to say as all you remembered from elementary school while we were trying to solve a problem like this 12/5;
12 |___5__
-__| 2
2
we draw this simple picture so can ı write this in latex?

Opalg · #2 $Old$ December 18th, 2008, 01:00 PM

I think that the way I lay out the diagram for long division is different from that. If it's any help, here is an example of the code that I used some years ago when teaching a class how to do long division of polynomials. The code is

Code:

\begin{array}{r@{}rrrrl}
&&x^2&+7x&+10\\
\cline{2-5}
x-3\;|&\;x^3 &+ 4x^2& - 11x& - 25 \\
&x^3&-3x^2 \\
\cline{2-3}
&&7x^2&-11x \\
&&7x^2&-21x \\
\cline{3-4}
&&&10x&-25 \\
&&&10x&-30&\quad\mbox{The quotient is }x^2+7x+10. \\
\cline{4-5}
&&&&5&\quad\mbox{The remainder is }5.
\end{array}

It produces this:

$\begin{array}{r@{}rrrrl}&&x^2&+7x&+10\\\cline{2-5}x-3\;|&\;x^3 &+ 4x^2& - 11x& - 25 \\&x^3&-3x^2 \\\cline{2-3}&&7x^2&-11x \\&&7x^2&-21x \\\cline{3-4}&&&10x&-25 \\&&&10x&-30&\quad\mbox{The quotient is }x^2+7x+10. \\\cline{4-5}&&&&5&\quad\mbox{The remainder is }5.\end{array}$

A simpler version for dividing 12 by 5 would look like this:

Code:

\begin{array}{r@{}r@{}r@{}}
&&2\\
\cline{2-3}
5\;|&\;1&2 \\
&1&0 \\
\cline{2-3}
&&2 \\
\end{array}

It gives this: $\begin{array}{r@{}r@{}r@{}}&&2\\\cline{2-3}5\;|&\;1&2 \\&1&0 \\\cline{2-3}&&2 \\\end{array}$