$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}x^{3}-x^{2}-25x\phantom{;}-22\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}x^{4}-3x^{3}-23x^{2}+28x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-x^{4}+2x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+2x^{3};}-x^{3}-23x^{2}+28x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{\phantom{;}x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}x^{3}-2x^{2}-;x^n;}-25x^{2}+28x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}25x^{2}-50x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}25x^{2}-50x\phantom{;}-;x^n-;x^n;}-22x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{\phantom{;}22x\phantom{;}-44\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}22x\phantom{;}-44\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-34\phantom{;}\phantom{;}\\\end{array}$

$x^{3}-x^{2}-25x-22+\frac{-34}{x-2}$