$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}2x^{2}-x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}2x^{3}+3x^{2}+5x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-2x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-4x^{2};}-x^{2}+5x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}x^{2}+2x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}x^{2}+2x\phantom{;}-;x^n;}\phantom{;}7x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-7x\phantom{;}-14\phantom{;}\phantom{;}}\\\phantom{;;-7x\phantom{;}-14\phantom{;}\phantom{;}-;x^n-;x^n;}-16\phantom{;}\phantom{;}\\\end{array}$

$2x^{2}-x+7+\frac{-16}{x+2}$