$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-8;}{-x^{2}+3x\phantom{;}+14\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-8\overline{\smash{)}-x^{3}+11x^{2}-10x\phantom{;}+12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-8;}\underline{\phantom{;}x^{3}-8x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{3}-8x^{2};}\phantom{;}3x^{2}-10x\phantom{;}+12\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-8-;x^n;}\underline{-3x^{2}+24x\phantom{;}\phantom{-;x^n}}\\\phantom{;-3x^{2}+24x\phantom{;}-;x^n;}\phantom{;}14x\phantom{;}+12\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-8-;x^n-;x^n;}\underline{-14x\phantom{;}+112\phantom{;}\phantom{;}}\\\phantom{;;-14x\phantom{;}+112\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}124\phantom{;}\phantom{;}\\\end{array}$

$-x^{2}+3x+14+\frac{124}{x-8}$