I would create such a similar thing:

I tried using polynom package but the operation I'm doing aren't the common operation because I'm working on galois field so I don't want the result that polynom package give me.
How can I create that image ?
You could use an array in conjunction with the booktabs package:

\documentclass{article}
\usepackage{amsmath}
\usepackage{booktabs}
\newcommand*{\Ph}{\hphantom{{}+{}}}%
\begin{document}
$\begin{array}{r l@{} l@{} l@{} l@{} l@{}}
&x^4 &{}+ 1 \
\cmidrule{2-6}
\multicolumn{1}{r |}{x^3 + x^2 + 1} &x^4 & &{}+ x^2 &{}+ x &{}+ 1 \
&x^4 &{}+ x^3 & &{}+ x & \
\cmidrule{2-5}
& &\Ph x^3 &{}+ x^2 & &{}+1\
& &\Ph x^3 &{}+ x^2 & &{}+1\
\cmidrule(l{10pt}){3-6}
\end{array}$
\end{document}
x^3 + x^2 + 1andx+1, or the full computation, possibly with alignment characters? – T. Verron Nov 27 '12 at 23:04