$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}x^{2}+2x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}x^{3}+4x^{2}+x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-2x^{2};}\phantom{;}2x^{2}+x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{-2x^{2}-4x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2x^{2}-4x\phantom{;}-;x^n;}-3x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{\phantom{;}3x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}3x\phantom{;}+6\phantom{;}\phantom{;}-;x^n-;x^n;}-4\phantom{;}\phantom{;}\\\end{array}$

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