$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+19;}{\phantom{;}5x^{2}-96x\phantom{;}+1817\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+19\overline{\smash{)}\phantom{;}5x^{3}-x^{2}-7x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+19;}\underline{-5x^{3}-95x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{3}-95x^{2};}-96x^{2}-7x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+19-;x^n;}\underline{\phantom{;}96x^{2}+1824x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}96x^{2}+1824x\phantom{;}-;x^n;}\phantom{;}1817x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+19-;x^n-;x^n;}\underline{-1817x\phantom{;}-34523\phantom{;}\phantom{;}}\\\phantom{;;-1817x\phantom{;}-34523\phantom{;}\phantom{;}-;x^n-;x^n;}-34520\phantom{;}\phantom{;}\\\end{array}$

$5x^{2}-96x+1817+\frac{-34520}{x+19}$