$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{-x^{2}+5x\phantom{;}-25\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}-x^{3}\phantom{-;x^n}\phantom{-;x^n}+25\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{\phantom{;}x^{3}+5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{3}+5x^{2};}\phantom{;}5x^{2}\phantom{-;x^n}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{-5x^{2}-25x\phantom{;}\phantom{-;x^n}}\\\phantom{;-5x^{2}-25x\phantom{;}-;x^n;}-25x\phantom{;}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{\phantom{;}25x\phantom{;}+125\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}25x\phantom{;}+125\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}150\phantom{;}\phantom{;}\\\end{array}$

$-x^{2}+5x-25+\frac{150}{5+x}$