$\begin{array}{l}\phantom{-2x^{2}+9;}{\frac{3}{-2}x^{3}\phantom{-;x^n}+\frac{13.5}{-2}x\phantom{;}+\frac{3}{-2}\phantom{;}\phantom{;}}\\-2x^{2}+9\overline{\smash{)}\phantom{;}3x^{5}\phantom{-;x^n}\phantom{-;x^n}+3x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}}\\\phantom{-2x^{2}+9;}\underline{-3x^{5}\phantom{-;x^n}+13.5x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{5}+13.5x^{3};}\phantom{;}13.5x^{3}+3x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}\\\phantom{-2x^{2}+9-;x^n;}\underline{-13.5x^{3}\phantom{-;x^n}+60.75x\phantom{;}\phantom{-;x^n}}\\\phantom{;-13.5x^{3}+60.75x\phantom{;}-;x^n;}\phantom{;}3x^{2}+60.75x\phantom{;}+8\phantom{;}\phantom{;}\\\phantom{-2x^{2}+9-;x^n-;x^n;}\underline{-3x^{2}\phantom{-;x^n}+13.5\phantom{;}\phantom{;}}\\\phantom{;;-3x^{2}+13.5\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}60.75x\phantom{;}+21.5\phantom{;}\phantom{;}\\\end{array}$

$\frac{3}{-2}x^{3}+\frac{13.5}{-2}x+\frac{3}{-2}+\frac{60.75x+21.5}{-2x^2+9}$