$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}7x^{2}-14x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}7x^{3}\phantom{-;x^n}-24x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-7x^{3}-14x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-7x^{3}-14x^{2};}-14x^{2}-24x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}14x^{2}+28x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}14x^{2}+28x\phantom{;}-;x^n;}\phantom{;}4x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-4x\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{;;-4x\phantom{;}-8\phantom{;}\phantom{;}-;x^n-;x^n;}-18\phantom{;}\phantom{;}\\\end{array}$

$7x^{2}-14x+4+\frac{-18}{x+2}$