$\begin{array}{l}\phantom{\phantom{;}x^{2}-3x\phantom{;}-1;}{\phantom{;}x^{3}+3x^{2}+10x\phantom{;}+35\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-3x\phantom{;}-1\overline{\smash{)}\phantom{;}x^{5}\phantom{-;x^n}\phantom{-;x^n}+2x^{2}+3x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-3x\phantom{;}-1;}\underline{-x^{5}+3x^{4}+x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{5}+3x^{4}+x^{3};}\phantom{;}3x^{4}+x^{3}+2x^{2}+3x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-3x\phantom{;}-1-;x^n;}\underline{-3x^{4}+9x^{3}+3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-3x^{4}+9x^{3}+3x^{2}-;x^n;}\phantom{;}10x^{3}+5x^{2}+3x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-3x\phantom{;}-1-;x^n-;x^n;}\underline{-10x^{3}+30x^{2}+10x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-10x^{3}+30x^{2}+10x\phantom{;}-;x^n-;x^n;}\phantom{;}35x^{2}+13x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-3x\phantom{;}-1-;x^n-;x^n-;x^n;}\underline{-35x^{2}+105x\phantom{;}+35\phantom{;}\phantom{;}}\\\phantom{;;;-35x^{2}+105x\phantom{;}+35\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}118x\phantom{;}+28\phantom{;}\phantom{;}\\\end{array}$

$x^{3}+3x^{2}+10x+35+\frac{118x+28}{x^2-3x-1}$