Divide:

- 14x⁶y³ - 21x⁴y⁵ + 7x⁵y⁴ by 7x²y²

(- 14x⁶y³ - 21x⁴y⁵ + 7x⁵y⁴) ÷ 7x²y²

= (- 14x⁶y³ ÷ 7x²y²) - (21x⁴y⁵ ÷ 7x²y²) + (7x⁵y⁴ ÷ 7x²y²)

= $\Big($ - $\dfrac{14}{7}$ x^(6-2)y^(3-2) $\Big)$ - $\Big($ $\dfrac{21}{7}$ x^(4-2)y^(5-2) $\Big)$ - $\Big($ - $\dfrac{7}{7}$ x^(5-2)y^(4-2) $\Big)$

= - 2 x⁴y¹ - 3 x²y³ + 1 x³y²

Hence, (- 14x⁶y³ - 21x⁴y⁵ + 7x⁵y⁴) ÷ 7x²y² = - 2 x⁴y - 3 x²y³ + x³y²