$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}x^{5}+3x^{4}+9x^{3}+27x^{2}+81x\phantom{;}+243\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-x^{6}+3x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{6}+3x^{5};}\phantom{;}3x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-3x^{5}+9x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-3x^{5}+9x^{4}-;x^n;}\phantom{;}9x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{-9x^{4}+27x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-9x^{4}+27x^{3}-;x^n-;x^n;}\phantom{;}27x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{-27x^{3}+81x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;-27x^{3}+81x^{2}-;x^n-;x^n-;x^n;}\phantom{;}81x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n-;x^n;}\underline{-81x^{2}+243x\phantom{;}\phantom{-;x^n}}\\\phantom{;;;;-81x^{2}+243x\phantom{;}-;x^n-;x^n-;x^n-;x^n;}\phantom{;}243x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-243x\phantom{;}+729\phantom{;}\phantom{;}}\\\phantom{;;;;;-243x\phantom{;}+729\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n;}\phantom{;}729\phantom{;}\phantom{;}\\\end{array}$

$x^{5}+3x^{4}+9x^{3}+27x^{2}+81x+243+\frac{729}{x-3}$