$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}2x^{2}-8x\phantom{;}+13\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}2x^{3}-6x^{2}+5x\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-2x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-2x^{2};}-8x^{2}+5x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}8x^{2}+8x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}8x^{2}+8x\phantom{;}-;x^n;}\phantom{;}13x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n-;x^n;}\underline{-13x\phantom{;}-13\phantom{;}\phantom{;}}\\\phantom{;;-13x\phantom{;}-13\phantom{;}\phantom{;}-;x^n-;x^n;}-21\phantom{;}\phantom{;}\\\end{array}$

$2x^{2}-8x+13+\frac{-21}{x+1}$