$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}3x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}3x^{2}-2x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-3x^{2}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{-3x^{2}-3x\phantom{;};}-5x\phantom{;}+7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}5x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}5x\phantom{;}+5\phantom{;}\phantom{;}-;x^n;}\phantom{;}12\phantom{;}\phantom{;}\\\end{array}$

$3x-5+\frac{12}{x+1}$