$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}x^{2}-2x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}x^{3}+x^{2}-x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-3x^{2};}-2x^{2}-x\phantom{;}+7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}2x^{2}+6x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{2}+6x\phantom{;}-;x^n;}\phantom{;}5x\phantom{;}+7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-5x\phantom{;}-15\phantom{;}\phantom{;}}\\\phantom{;;-5x\phantom{;}-15\phantom{;}\phantom{;}-;x^n-;x^n;}-8\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-2x+5+\frac{-8}{x+3}$