$\begin{array}{l}\phantom{-x\phantom{;}+9;}{-x^{2}-9x\phantom{;}-81\phantom{;}\phantom{;}}\\-x\phantom{;}+9\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x\phantom{;}+9;}\underline{-x^{3}+9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+9x^{2};}\phantom{;}9x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{-x\phantom{;}+9-;x^n;}\underline{-9x^{2}+81x\phantom{;}\phantom{-;x^n}}\\\phantom{;-9x^{2}+81x\phantom{;}-;x^n;}\phantom{;}81x\phantom{;}\phantom{-;x^n}\\\phantom{-x\phantom{;}+9-;x^n-;x^n;}\underline{-81x\phantom{;}+729\phantom{;}\phantom{;}}\\\phantom{;;-81x\phantom{;}+729\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}729\phantom{;}\phantom{;}\\\end{array}$

$-x^{2}-9x-81+\frac{729}{9-x}$