$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+9;}{\phantom{;}x^{2}-9x\phantom{;}+80\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+9\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}-x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+9;}\underline{-x^{3}-9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-9x^{2};}-9x^{2}-x\phantom{;}+9\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+9-;x^n;}\underline{\phantom{;}9x^{2}+81x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}9x^{2}+81x\phantom{;}-;x^n;}\phantom{;}80x\phantom{;}+9\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+9-;x^n-;x^n;}\underline{-80x\phantom{;}-720\phantom{;}\phantom{;}}\\\phantom{;;-80x\phantom{;}-720\phantom{;}\phantom{;}-;x^n-;x^n;}-711\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-9x+80+\frac{-711}{x+9}$