$\begin{array}{l}\phantom{\phantom{;}x^{2}+x\phantom{;}+42;}{\phantom{;}x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+x\phantom{;}+42\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}+5x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+x\phantom{;}+42;}\underline{-x^{3}-x^{2}-42x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{3}-x^{2}-42x\phantom{;};}-x^{2}-37x\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+x\phantom{;}+42-;x^n;}\underline{\phantom{;}x^{2}+x\phantom{;}+42\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}x^{2}+x\phantom{;}+42\phantom{;}\phantom{;}-;x^n;}-36x\phantom{;}+48\phantom{;}\phantom{;}\\\end{array}$

$x-1+\frac{-36x+48}{x^2+x+42}$