$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}3x^{3}+9x^{2}+36x\phantom{;}+105\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}3x^{4}\phantom{-;x^n}+9x^{2}-3x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-3x^{4}+9x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{4}+9x^{3};}\phantom{;}9x^{3}+9x^{2}-3x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-9x^{3}+27x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-9x^{3}+27x^{2}-;x^n;}\phantom{;}36x^{2}-3x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{-36x^{2}+108x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-36x^{2}+108x\phantom{;}-;x^n-;x^n;}\phantom{;}105x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{-105x\phantom{;}+315\phantom{;}\phantom{;}}\\\phantom{;;;-105x\phantom{;}+315\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}313\phantom{;}\phantom{;}\\\end{array}$

$3x^{3}+9x^{2}+36x+105+\frac{313}{x-3}$