$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}3x^{2}-2x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}3x^{3}+4x^{2}+5x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-3x^{3}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}-6x^{2};}-2x^{2}+5x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}2x^{2}+4x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{2}+4x\phantom{;}-;x^n;}\phantom{;}9x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-9x\phantom{;}-18\phantom{;}\phantom{;}}\\\phantom{;;-9x\phantom{;}-18\phantom{;}\phantom{;}-;x^n-;x^n;}-19\phantom{;}\phantom{;}\\\end{array}$

$3x^{2}-2x+9+\frac{-19}{x+2}$