$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}7x^{2}-20x\phantom{;}+30\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}7x^{3}-13x^{2}+10x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-7x^{3}-7x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-7x^{3}-7x^{2};}-20x^{2}+10x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}20x^{2}+20x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}20x^{2}+20x\phantom{;}-;x^n;}\phantom{;}30x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n-;x^n;}\underline{-30x\phantom{;}-30\phantom{;}\phantom{;}}\\\phantom{;;-30x\phantom{;}-30\phantom{;}\phantom{;}-;x^n-;x^n;}-34\phantom{;}\phantom{;}\\\end{array}$

$7x^{2}-20x+30+\frac{-34}{x+1}$