$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}3x^{3}+9x^{2}+29x\phantom{;}+82\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}3x^{4}\phantom{-;x^n}+2x^{2}-5x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-3x^{4}+9x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{4}+9x^{3};}\phantom{;}9x^{3}+2x^{2}-5x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-9x^{3}+27x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-9x^{3}+27x^{2}-;x^n;}\phantom{;}29x^{2}-5x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{-29x^{2}+87x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-29x^{2}+87x\phantom{;}-;x^n-;x^n;}\phantom{;}82x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{-82x\phantom{;}+246\phantom{;}\phantom{;}}\\\phantom{;;;-82x\phantom{;}+246\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}249\phantom{;}\phantom{;}\\\end{array}$

$3x^{3}+9x^{2}+29x+82+\frac{249}{x-3}$