$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}2x^{2}-6x\phantom{;}+12\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}2x^{3}-2x^{2}\phantom{-;x^n}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-2x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-4x^{2};}-6x^{2}\phantom{-;x^n}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}6x^{2}+12x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6x^{2}+12x\phantom{;}-;x^n;}\phantom{;}12x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-12x\phantom{;}-24\phantom{;}\phantom{;}}\\\phantom{;;-12x\phantom{;}-24\phantom{;}\phantom{;}-;x^n-;x^n;}-29\phantom{;}\phantom{;}\\\end{array}$

$2x^{2}-6x+12+\frac{-29}{x+2}$