$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}5x\phantom{;}-11\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}5x^{2}-6x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-5x^{2}-5x\phantom{;}\phantom{-;x^n}}\\\phantom{-5x^{2}-5x\phantom{;};}-11x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}11x\phantom{;}+11\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}11x\phantom{;}+11\phantom{;}\phantom{;}-;x^n;}\phantom{;}15\phantom{;}\phantom{;}\\\end{array}$

$5x-11+\frac{15}{x+1}$