$\begin{array}{l}\phantom{-x^{3}-x\phantom{;}+1;}{-1\phantom{;}\phantom{;}}\\-x^{3}-x\phantom{;}+1\overline{\smash{)}\phantom{;}x^{3}-x^{2}\phantom{-;x^n}+4\phantom{;}\phantom{;}}\\\phantom{-x^{3}-x\phantom{;}+1;}\underline{-x^{3}\phantom{-;x^n}-x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{-x^{3}-x\phantom{;}+1\phantom{;}\phantom{;};}-x^{2}-x\phantom{;}+5\phantom{;}\phantom{;}\\\end{array}$

$-1+\frac{-x^{2}-x+5}{-x^3-x+1}$