$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}x^{2}+2x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}x^{3}+5x^{2}-x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-3x^{2};}\phantom{;}2x^{2}-x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{-2x^{2}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2x^{2}-6x\phantom{;}-;x^n;}-7x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{\phantom{;}7x\phantom{;}+21\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}7x\phantom{;}+21\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}19\phantom{;}\phantom{;}\\\end{array}$

$x^{2}+2x-7+\frac{19}{x+3}$