$\text{Terme - Additon - Subtraktion - Mulitiplikation - Division}\\ \displaystyle \frac{ x^3-2x^2-5x+6}{ x-1} \ \small \begin{matrix} ( x^3&-2x^2&-5x&+6&):( x -1 )= x^2 -1x -6 \\ \,-( x^3&-1x^2) \\ \hline &-1x^2&-5x&+6&\\ &-(-1x^2&+x) \\ \hline &&-6x&+6&\\ &&-(-6x&+6) \\ \hline &&&0\\ \end{matrix} \\ \normalsize \\ \\ \displaystyle \frac{ x^3-2x^2-5x+6}{ x-1}= x^2-1x-6$