$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}x^{2}-5x\phantom{;}+49\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}+24x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-5x^{2};}-5x^{2}+24x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}5x^{2}+25x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{2}+25x\phantom{;}-;x^n;}\phantom{;}49x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-49x\phantom{;}-245\phantom{;}\phantom{;}}\\\phantom{;;-49x\phantom{;}-245\phantom{;}\phantom{;}-;x^n-;x^n;}-250\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-5x+49+\frac{-250}{x+5}$