$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}3x^{2}-14x\phantom{;}+34\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}3x^{3}-8x^{2}+6x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-3x^{3}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}-6x^{2};}-14x^{2}+6x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}14x^{2}+28x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}14x^{2}+28x\phantom{;}-;x^n;}\phantom{;}34x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-34x\phantom{;}-68\phantom{;}\phantom{;}}\\\phantom{;;-34x\phantom{;}-68\phantom{;}\phantom{;}-;x^n-;x^n;}-73\phantom{;}\phantom{;}\\\end{array}$

$3x^{2}-14x+34+\frac{-73}{x+2}$