$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}7x\phantom{;}-11\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}7x^{2}-4x\phantom{;}+8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-7x^{2}-7x\phantom{;}\phantom{-;x^n}}\\\phantom{-7x^{2}-7x\phantom{;};}-11x\phantom{;}+8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}11x\phantom{;}+11\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}11x\phantom{;}+11\phantom{;}\phantom{;}-;x^n;}\phantom{;}19\phantom{;}\phantom{;}\\\end{array}$

$7x-11+\frac{19}{x+1}$