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

$1+\frac{x^{2}+x-3}{-x^3-x+1}$