$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}5x^{2}+2x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}5x^{3}-3x^{2}\phantom{-;x^n}-6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-5x^{3}+5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{3}+5x^{2};}\phantom{;}2x^{2}\phantom{-;x^n}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{-2x^{2}+2x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2x^{2}+2x\phantom{;}-;x^n;}\phantom{;}2x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{-2x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;;-2x\phantom{;}+2\phantom{;}\phantom{;}-;x^n-;x^n;}-4\phantom{;}\phantom{;}\\\end{array}$

$5x^{2}+2x+2+\frac{-4}{x-1}$