$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+7;}{\phantom{;}x^{2}-2x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+7\overline{\smash{)}\phantom{;}x^{3}+5x^{2}-9x\phantom{;}+30\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+7;}\underline{-x^{3}-7x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-7x^{2};}-2x^{2}-9x\phantom{;}+30\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+7-;x^n;}\underline{\phantom{;}2x^{2}+14x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{2}+14x\phantom{;}-;x^n;}\phantom{;}5x\phantom{;}+30\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+7-;x^n-;x^n;}\underline{-5x\phantom{;}-35\phantom{;}\phantom{;}}\\\phantom{;;-5x\phantom{;}-35\phantom{;}\phantom{;}-;x^n-;x^n;}-5\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-2x+5+\frac{-5}{x+7}$