$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}3x^{2}-6x\phantom{;}+13\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}3x^{3}\phantom{-;x^n}+x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-3x^{3}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}-6x^{2};}-6x^{2}+x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}6x^{2}+12x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6x^{2}+12x\phantom{;}-;x^n;}\phantom{;}13x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-13x\phantom{;}-26\phantom{;}\phantom{;}}\\\phantom{;;-13x\phantom{;}-26\phantom{;}\phantom{;}-;x^n-;x^n;}-29\phantom{;}\phantom{;}\\\end{array}$

$3x^{2}-6x+13+\frac{-29}{x+2}$