$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}10x^{2}-63x\phantom{;}+197\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}10x^{3}-33x^{2}+8x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-10x^{3}-30x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-10x^{3}-30x^{2};}-63x^{2}+8x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}63x^{2}+189x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}63x^{2}+189x\phantom{;}-;x^n;}\phantom{;}197x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-197x\phantom{;}-591\phantom{;}\phantom{;}}\\\phantom{;;-197x\phantom{;}-591\phantom{;}\phantom{;}-;x^n-;x^n;}-588\phantom{;}\phantom{;}\\\end{array}$

$10x^{2}-63x+197+\frac{-588}{x+3}$