# How do you find the quotient of (5ab - 10b^2 + 15bc) ÷ 5b?

It is possible to factor $\left(5 a b - 10 {b}^{2} + 15 a b\right)$ to determine that
$\left(5 a b - 10 {b}^{2} + 15 b c\right) \div 5 b = a - 2 b + 3 c$
$\left(5 a b - 10 {b}^{2} + 15 b c\right) \div 5 b$
$\textcolor{w h i t e}{\text{XXX}} = \frac{\cancel{5 b} \left(a - 2 b + 3 c\right)}{\cancel{5 b}}$