$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}x^{2}+x\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}x^{3}-2x^{2}-11x\phantom{;}+12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-x^{3}+3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+3x^{2};}\phantom{;}x^{2}-11x\phantom{;}+12\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-x^{2}+3x\phantom{;}\phantom{-;x^n}}\\\phantom{;-x^{2}+3x\phantom{;}-;x^n;}-8x\phantom{;}+12\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}8x\phantom{;}-24\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}8x\phantom{;}-24\phantom{;}\phantom{;}-;x^n-;x^n;}-12\phantom{;}\phantom{;}\\\end{array}$

$x^{2}+x-8+\frac{-12}{x-3}$