$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-5;}{\phantom{;}3x^{3}+19x^{2}+95x\phantom{;}+481\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-5\overline{\smash{)}\phantom{;}3x^{4}+4x^{3}\phantom{-;x^n}+6x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-5;}\underline{-3x^{4}+15x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{4}+15x^{3};}\phantom{;}19x^{3}\phantom{-;x^n}+6x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n;}\underline{-19x^{3}+95x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-19x^{3}+95x^{2}-;x^n;}\phantom{;}95x^{2}+6x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n;}\underline{-95x^{2}+475x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-95x^{2}+475x\phantom{;}-;x^n-;x^n;}\phantom{;}481x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n-;x^n;}\underline{-481x\phantom{;}+2405\phantom{;}\phantom{;}}\\\phantom{;;;-481x\phantom{;}+2405\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}2403\phantom{;}\phantom{;}\\\end{array}$

$3x^{3}+19x^{2}+95x+481+\frac{2403}{x-5}$