$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}2x^{2}-10x\phantom{;}+50\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}2x^{3}\phantom{-;x^n}\phantom{-;x^n}+125\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-2x^{3}-10x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-10x^{2};}-10x^{2}\phantom{-;x^n}+125\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}10x^{2}+50x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}10x^{2}+50x\phantom{;}-;x^n;}\phantom{;}50x\phantom{;}+125\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-50x\phantom{;}-250\phantom{;}\phantom{;}}\\\phantom{;;-50x\phantom{;}-250\phantom{;}\phantom{;}-;x^n-;x^n;}-125\phantom{;}\phantom{;}\\\end{array}$

$2x^{2}-10x+50+\frac{-125}{x+5}$