$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}x^{2}-8x\phantom{;}+19\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}x^{3}-5x^{2}-5x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-3x^{2};}-8x^{2}-5x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}8x^{2}+24x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}8x^{2}+24x\phantom{;}-;x^n;}\phantom{;}19x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-19x\phantom{;}-57\phantom{;}\phantom{;}}\\\phantom{;;-19x\phantom{;}-57\phantom{;}\phantom{;}-;x^n-;x^n;}-60\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-8x+19+\frac{-60}{x+3}$