$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+8;}{\phantom{;}2x^{3}-16x^{2}+135x\phantom{;}-1083\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+8\overline{\smash{)}\phantom{;}2x^{4}\phantom{-;x^n}+7x^{2}-3x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+8;}\underline{-2x^{4}-16x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{4}-16x^{3};}-16x^{3}+7x^{2}-3x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+8-;x^n;}\underline{\phantom{;}16x^{3}+128x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}16x^{3}+128x^{2}-;x^n;}\phantom{;}135x^{2}-3x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+8-;x^n-;x^n;}\underline{-135x^{2}-1080x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-135x^{2}-1080x\phantom{;}-;x^n-;x^n;}-1083x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+8-;x^n-;x^n-;x^n;}\underline{\phantom{;}1083x\phantom{;}+8664\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}1083x\phantom{;}+8664\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}8657\phantom{;}\phantom{;}\\\end{array}$

$2x^{3}-16x^{2}+135x-1083+\frac{8657}{x+8}$