$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}2x^{3}-5x^{2}+20x\phantom{;}-80\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}2x^{4}+3x^{3}\phantom{-;x^n}\phantom{-;x^n}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-2x^{4}-8x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{4}-8x^{3};}-5x^{3}\phantom{-;x^n}\phantom{-;x^n}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}5x^{3}+20x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{3}+20x^{2}-;x^n;}\phantom{;}20x^{2}\phantom{-;x^n}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{-20x^{2}-80x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-20x^{2}-80x\phantom{;}-;x^n-;x^n;}-80x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n-;x^n;}\underline{\phantom{;}80x\phantom{;}+320\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}80x\phantom{;}+320\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}315\phantom{;}\phantom{;}\\\end{array}$

$2x^{3}-5x^{2}+20x-80+\frac{315}{x+4}$