Divide polynomials by monomials (with remainders)

Let $a(x)=6x^9-5x^8-12x^3+60$‍, and $b(x)=x^6$‍.

When dividing $a$‍ by $b$‍, we can find the unique quotient polynomial $q$‍ and remainder polynomial $r$‍ that satisfy the following equation:

${\displaystyle \frac{a(x)}{b(x)}}=q(x)+{\displaystyle \frac{r(x)}{b(x)}}$‍,

where the degree of $r(x)$‍ is less than the degree of $b(x)$‍.

What is the quotient, $q(x)$‍?

$q(x)=$‍

What is the remainder, $r(x)$‍?

$r(x)=$‍