How to solve overline 11)76

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve overline 11)76 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\overline{11)76}$$

Evaluate

$\frac{76}{11}\approx 6.909090909$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $76$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)76}\\\end{array}$$

Since $7$ is less than $11$, use the next digit $6$ from dividend $76$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)76}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $76$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)76}\\\end{array}$$

Find closest multiple of $11$ to $76$. We see that $6 \times 11 = 66$ is the nearest. Now subtract $66$ from $76$ to get reminder $10$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{11)}06\phantom{4}\\11\overline{)76}\\\phantom{11)}\underline{\phantom{}66\phantom{}}\\\phantom{11)}10\\\end{array}$$

Since $10$ is less than $11$, stop the division. The reminder is $10$. The topmost line $06$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 19}{11} = 6\frac{10}{11} = 6.909090909090909$