$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}x^{5}+5x^{4}+12x^{3}+36x^{2}+108x\phantom{;}+330\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}x^{6}+2x^{5}-3x^{4}\phantom{-;x^n}\phantom{-;x^n}+6x\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-x^{6}+3x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{6}+3x^{5};}\phantom{;}5x^{5}-3x^{4}\phantom{-;x^n}\phantom{-;x^n}+6x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-5x^{5}+15x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-5x^{5}+15x^{4}-;x^n;}\phantom{;}12x^{4}\phantom{-;x^n}\phantom{-;x^n}+6x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{-12x^{4}+36x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-12x^{4}+36x^{3}-;x^n-;x^n;}\phantom{;}36x^{3}\phantom{-;x^n}+6x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{-36x^{3}+108x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;-36x^{3}+108x^{2}-;x^n-;x^n-;x^n;}\phantom{;}108x^{2}+6x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n-;x^n;}\underline{-108x^{2}+324x\phantom{;}\phantom{-;x^n}}\\\phantom{;;;;-108x^{2}+324x\phantom{;}-;x^n-;x^n-;x^n-;x^n;}\phantom{;}330x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-330x\phantom{;}+990\phantom{;}\phantom{;}}\\\phantom{;;;;;-330x\phantom{;}+990\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n;}\phantom{;}982\phantom{;}\phantom{;}\\\end{array}$

$x^{5}+5x^{4}+12x^{3}+36x^{2}+108x+330+\frac{982}{x-3}$