$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}5x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}5x^{2}\phantom{-;x^n}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-5x^{2}-10x\phantom{;}\phantom{-;x^n}}\\\phantom{-5x^{2}-10x\phantom{;};}-10x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}10x\phantom{;}+20\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}10x\phantom{;}+20\phantom{;}\phantom{;}-;x^n;}\phantom{;}21\phantom{;}\phantom{;}\\\end{array}$

$5x-10+\frac{21}{x+2}$