$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+7;}{\phantom{;}4x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+7\overline{\smash{)}\phantom{;}4x^{2}+21x\phantom{;}+48\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+7;}\underline{-4x^{2}-28x\phantom{;}\phantom{-;x^n}}\\\phantom{-4x^{2}-28x\phantom{;};}-7x\phantom{;}+48\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+7-;x^n;}\underline{\phantom{;}7x\phantom{;}+49\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}7x\phantom{;}+49\phantom{;}\phantom{;}-;x^n;}\phantom{;}97\phantom{;}\phantom{;}\\\end{array}$

$4x-7+\frac{97}{x+7}$