$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+10;}{\phantom{;}6x\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+10\overline{\smash{)}\phantom{;}6x^{2}+52x\phantom{;}-71\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+10;}\underline{-6x^{2}-60x\phantom{;}\phantom{-;x^n}}\\\phantom{-6x^{2}-60x\phantom{;};}-8x\phantom{;}-71\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+10-;x^n;}\underline{\phantom{;}8x\phantom{;}+80\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}8x\phantom{;}+80\phantom{;}\phantom{;}-;x^n;}\phantom{;}9\phantom{;}\phantom{;}\\\end{array}$

$6x-8+\frac{9}{x+10}$