Divide (2b^2+b-8)/(2b)

$\frac{2 b^{2} + b - 8}{2 b}$

Split the fraction $\frac{2 b^{2} + b - 8}{2 b}$ into two fractions.

$\frac{2 b^{2} + b}{2 b} + \frac{- 8}{2 b}$

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

$\frac{2 b^{2}}{2 b} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 b^{2}}{2 b} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Rewrite the expression.

$\frac{b^{2}}{b} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Cancel the common factor of $b^{2}$ and $b$ .

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

$\frac{b \cdot b}{b} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Cancel the common factors.

Raise $b$ to the power of $1$ .

$\frac{b \cdot b}{b^{1}} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Factor $b$ out of $b^{1}$ .

$\frac{b \cdot b}{b \cdot 1} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Cancel the common factor.

$\frac{b \cdot b}{b \cdot 1} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Rewrite the expression.

$\frac{b}{1} + \frac{b}{2 b} + \frac{- 8}{2 b}$

Divide $b$ by $1$ .

$b + \frac{b}{2 b} + \frac{- 8}{2 b}$

Cancel the common factor of $b$ .

Cancel the common factor.

$b + \frac{b}{2 b} + \frac{- 8}{2 b}$

Rewrite the expression.

$b + \frac{1}{2} + \frac{- 8}{2 b}$

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

Factor $2$ out of $- 8$ .

$b + \frac{1}{2} + \frac{2 \cdot - 4}{2 b}$

Cancel the common factors.

Factor $2$ out of $2 b$ .

$b + \frac{1}{2} + \frac{2 \cdot - 4}{2 (b)}$

Cancel the common factor.

$b + \frac{1}{2} + \frac{2 \cdot - 4}{2 b}$

Rewrite the expression.

$b + \frac{1}{2} + \frac{- 4}{b}$

Move the negative in front of the fraction.

$b + \frac{1}{2} - \frac{4}{b}$