$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}x^{2}-9x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}x^{3}-5x^{2}-43x\phantom{;}-25\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-4x^{2};}-9x^{2}-43x\phantom{;}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}9x^{2}+36x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}9x^{2}+36x\phantom{;}-;x^n;}-7x\phantom{;}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{\phantom{;}7x\phantom{;}+28\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}7x\phantom{;}+28\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}3\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-9x-7+\frac{3}{x+4}$