Divide (2p^3+2p^2+8p)÷8p

$(2 p^{3} + 2 p^{2} + 8 p) \div 8 p$

Rewrite the division as a fraction.

$\frac{2 p^{3} + 2 p^{2} + 8 p}{8 p}$

Factor $2 p$ out of $2 p^{3} + 2 p^{2} + 8 p$ .

Factor $2 p$ out of $2 p^{3}$ .

$\frac{2 p (p^{2}) + 2 p^{2} + 8 p}{8 p}$

Factor $2 p$ out of $2 p^{2}$ .

$\frac{2 p (p^{2}) + 2 p (p) + 8 p}{8 p}$

Factor $2 p$ out of $8 p$ .

$\frac{2 p (p^{2}) + 2 p (p) + 2 p (4)}{8 p}$

Factor $2 p$ out of $2 p (p^{2}) + 2 p (p)$ .

$\frac{2 p (p^{2} + p) + 2 p (4)}{8 p}$

Factor $2 p$ out of $2 p (p^{2} + p) + 2 p (4)$ .

$\frac{2 p (p^{2} + p + 4)}{8 p}$

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2 p (p^{2} + p + 4)$ .

$\frac{2 (p (p^{2} + p + 4))}{8 p}$

Cancel the common factors.

Factor $2$ out of $8 p$ .

$\frac{2 (p (p^{2} + p + 4))}{2 (4 p)}$

Cancel the common factor.

$\frac{2 (p (p^{2} + p + 4))}{2 (4 p)}$

Rewrite the expression.

$\frac{p (p^{2} + p + 4)}{4 p}$

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p (p^{2} + p + 4)}{4 p}$

Rewrite the expression.

$\frac{p^{2} + p + 4}{4}$

Split the fraction $\frac{p^{2} + p + 4}{4}$ into two fractions.

$\frac{p^{2} + p}{4} + \frac{4}{4}$

Split the fraction $\frac{p^{2} + p}{4}$ into two fractions.

$\frac{p^{2}}{4} + \frac{p}{4} + \frac{4}{4}$

Divide $4$ by $4$ .

$\frac{p^{2}}{4} + \frac{p}{4} + 1$