$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}x^{2}-7x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}x^{3}-6x^{2}+3x\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-x^{3}-x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-x^{2};}-7x^{2}+3x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}7x^{2}+7x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}7x^{2}+7x\phantom{;}-;x^n;}\phantom{;}10x\phantom{;}-8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n-;x^n;}\underline{-10x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{;;-10x\phantom{;}-10\phantom{;}\phantom{;}-;x^n-;x^n;}-18\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-7x+10+\frac{-18}{x+1}$