$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-5;}{\phantom{;}x^{2}-7x\phantom{;}-35\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-5\overline{\smash{)}\phantom{;}x^{3}-12x^{2}\phantom{-;x^n}-42\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-5;}\underline{-x^{3}+5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+5x^{2};}-7x^{2}\phantom{-;x^n}-42\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n;}\underline{\phantom{;}7x^{2}-35x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}7x^{2}-35x\phantom{;}-;x^n;}-35x\phantom{;}-42\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n;}\underline{\phantom{;}35x\phantom{;}-175\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}35x\phantom{;}-175\phantom{;}\phantom{;}-;x^n-;x^n;}-217\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-7x-35+\frac{-217}{x-5}$