$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}2x^{2}-3x\phantom{;}+18\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}2x^{3}+x^{2}+12x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-2x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-4x^{2};}-3x^{2}+12x\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}3x^{2}+6x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}3x^{2}+6x\phantom{;}-;x^n;}\phantom{;}18x\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-18x\phantom{;}-36\phantom{;}\phantom{;}}\\\phantom{;;-18x\phantom{;}-36\phantom{;}\phantom{;}-;x^n-;x^n;}-30\phantom{;}\phantom{;}\\\end{array}$

$2x^{2}-3x+18+\frac{-30}{x+2}$