$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}2x^{3}-x^{2}+2x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}2x^{4}+3x^{3}\phantom{-;x^n}-x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-2x^{4}-4x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{4}-4x^{3};}-x^{3}\phantom{-;x^n}-x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}x^{3}+2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}x^{3}+2x^{2}-;x^n;}\phantom{;}2x^{2}-x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-2x^{2}-4x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-2x^{2}-4x\phantom{;}-;x^n-;x^n;}-5x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n-;x^n;}\underline{\phantom{;}5x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}5x\phantom{;}+10\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}7\phantom{;}\phantom{;}\\\end{array}$

$2x^{3}-x^{2}+2x-5+\frac{7}{x+2}$