$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+5;}{\phantom{;}5x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+5\overline{\smash{)}\phantom{;}10x^{2}+33x\phantom{;}+25\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+5;}\underline{-10x^{2}-25x\phantom{;}\phantom{-;x^n}}\\\phantom{-10x^{2}-25x\phantom{;};}\phantom{;}8x\phantom{;}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+5-;x^n;}\underline{-8x\phantom{;}-20\phantom{;}\phantom{;}}\\\phantom{;-8x\phantom{;}-20\phantom{;}\phantom{;}-;x^n;}\phantom{;}5\phantom{;}\phantom{;}\\\end{array}$

$5x+4+\frac{5}{2x+5}$