$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{-2x^{2}+7x\phantom{;}-14\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}-2x^{3}+3x^{2}\phantom{-;x^n}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{\phantom{;}2x^{3}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}2x^{3}+4x^{2};}\phantom{;}7x^{2}\phantom{-;x^n}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{-7x^{2}-14x\phantom{;}\phantom{-;x^n}}\\\phantom{;-7x^{2}-14x\phantom{;}-;x^n;}-14x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{\phantom{;}14x\phantom{;}+28\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}14x\phantom{;}+28\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}27\phantom{;}\phantom{;}\\\end{array}$

$-2x^{2}+7x-14+\frac{27}{x+2}$