$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}x^{3}+3x^{2}+9x\phantom{;}+27\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+81\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-x^{4}+3x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+3x^{3};}\phantom{;}3x^{3}\phantom{-;x^n}\phantom{-;x^n}+81\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-3x^{3}+9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-3x^{3}+9x^{2}-;x^n;}\phantom{;}9x^{2}\phantom{-;x^n}+81\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{-9x^{2}+27x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-9x^{2}+27x\phantom{;}-;x^n-;x^n;}\phantom{;}27x\phantom{;}+81\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{-27x\phantom{;}+81\phantom{;}\phantom{;}}\\\phantom{;;;-27x\phantom{;}+81\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}162\phantom{;}\phantom{;}\\\end{array}$

$x^{3}+3x^{2}+9x+27+\frac{162}{x-3}$