8. ¿Cuál es el resultado de la siguiente división? * $$ \left(-m^{5} n^{2}-\frac{1}{2} m^{4} n^{4}+\frac{2}{3} m^{3} n-4 m n^{4}\right) \div\left(-4 m^{5} n^{3}\right) $$

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Calculate or simplify the expression $$ (-m^{5}n^{2}-\frac{1}{2}m^{4}n^{4}+\frac{2}{3}m^{3}n-4mn^{4}) / (-4m^{5}n^{3}) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(-m^{5}n^{2}-\frac{1}{2}m^{4}n^{4}+\frac{2}{3}m^{3}n-4mn^{4}ight)}{\left(-4m^{5}n^{3}ight)}$$
- step1: Remove the parentheses:
  $$\frac{-m^{5}n^{2}-\frac{1}{2}m^{4}n^{4}+\frac{2}{3}m^{3}n-4mn^{4}}{-4m^{5}n^{3}}$$
- step2: Rewrite the expression:
  $$\frac{\frac{-6m^{5}n^{2}-3m^{4}n^{4}+4m^{3}n-24mn^{4}}{6}}{-4m^{5}n^{3}}$$
- step3: Multiply by the reciprocal:
  $$\frac{-6m^{5}n^{2}-3m^{4}n^{4}+4m^{3}n-24mn^{4}}{6}	imes \frac{1}{-4m^{5}n^{3}}$$
- step4: Multiply the terms:
  $$-\frac{-6m^{5}n^{2}-3m^{4}n^{4}+4m^{3}n-24mn^{4}}{6}	imes \frac{1}{4m^{5}n^{3}}$$
- step5: Rewrite the expression:
  $$-\frac{m\left(-6n^{2}m^{4}-3n^{4}m^{3}+4nm^{2}-24n^{4}ight)}{6}	imes \frac{1}{4m^{5}n^{3}}$$
- step6: Reduce the fraction:
  $$-\frac{-6n^{2}m^{4}-3n^{4}m^{3}+4nm^{2}-24n^{4}}{6}	imes \frac{1}{4m^{4}n^{3}}$$
- step7: Rewrite the expression:
  $$-\frac{n\left(-6nm^{4}-3n^{3}m^{3}+4m^{2}-24n^{3}ight)}{6}	imes \frac{1}{4m^{4}n^{3}}$$
- step8: Reduce the fraction:
  $$-\frac{-6nm^{4}-3n^{3}m^{3}+4m^{2}-24n^{3}}{6}	imes \frac{1}{4m^{4}n^{2}}$$
- step9: Multiply the terms:
  $$-\frac{-6nm^{4}-3n^{3}m^{3}+4m^{2}-24n^{3}}{6	imes 4m^{4}n^{2}}$$
- step10: Multiply the terms:
  $$-\frac{-6nm^{4}-3n^{3}m^{3}+4m^{2}-24n^{3}}{24m^{4}n^{2}}$$
- step11: Rewrite the fraction:
  $$\frac{6nm^{4}+3n^{3}m^{3}-4m^{2}+24n^{3}}{24m^{4}n^{2}}$$
El resultado de la división es $$ \frac{6nm^{4}+3n^{3}m^{3}-4m^{2}+24n^{3}}{24m^{4}n^{2}} $$.
El resultado de la división es $$ \frac{6nm^{4}+3n^{3}m^{3}-4m^{2}+24n^{3}}{24m^{4}n^{2}} $$.

¿Cuál es el resultado de la siguiente división? *

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