$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}x^{2}-x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}x^{3}+4x^{2}+5x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-5x^{2};}-x^{2}+5x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}x^{2}+5x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}x^{2}+5x\phantom{;}-;x^n;}\phantom{;}10x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-10x\phantom{;}-50\phantom{;}\phantom{;}}\\\phantom{;;-10x\phantom{;}-50\phantom{;}\phantom{;}-;x^n-;x^n;}-51\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-x+10+\frac{-51}{x+5}$