$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-5;}{-x^{2}-5x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-5\overline{\smash{)}-x^{3}\phantom{-;x^n}+24x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-5;}\underline{\phantom{;}x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{3}-5x^{2};}-5x^{2}+24x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n;}\underline{\phantom{;}5x^{2}-25x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{2}-25x\phantom{;}-;x^n;}-x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n;}\underline{\phantom{;}x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}x\phantom{;}-5\phantom{;}\phantom{;}-;x^n-;x^n;}-10\phantom{;}\phantom{;}\\\end{array}$

$-x^{2}-5x-1+\frac{-10}{x-5}$