$\begin{array}{l}\phantom{\phantom{;}5x^{2}+4x\phantom{;}+9;}{\phantom{;}x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{;}5x^{2}+4x\phantom{;}+9\overline{\smash{)}\phantom{;}5x^{3}+49x^{2}+47x\phantom{;}+88\phantom{;}\phantom{;}}\\\phantom{\phantom{;}5x^{2}+4x\phantom{;}+9;}\underline{-5x^{3}-4x^{2}-9x\phantom{;}\phantom{-;x^n}}\\\phantom{-5x^{3}-4x^{2}-9x\phantom{;};}\phantom{;}45x^{2}+38x\phantom{;}+88\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x^{2}+4x\phantom{;}+9-;x^n;}\underline{-45x^{2}-36x\phantom{;}-81\phantom{;}\phantom{;}}\\\phantom{;-45x^{2}-36x\phantom{;}-81\phantom{;}\phantom{;}-;x^n;}\phantom{;}2x\phantom{;}+7\phantom{;}\phantom{;}\\\end{array}$

$x+9+\frac{2x+7}{5x^2+4x+9}$