SOLUTION:
To divide monomials or polynomials we can spread out the exponents
[tex]\begin{gathered} \frac{54v^{10}}{6v^2} \\ \frac{54\text{ }\times v\times v\times v\times v\times v\times v\times v\times v\times v\times v}{6\times v\times v} \\ \text{Cancelling out the v's. Also 54 divides 6 into 9's} \\ 9\times v\times v\times v\times v\times v\times v\times v\times v \\ 9v^8 \end{gathered}[/tex]Final answer:
The final answer is 9v^8