How to solve . 2361/12

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 . 2361/12 | Equatix

Question

$$2361 \div 12$$

Evaluate

$\frac{787}{4}=196.75$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2361$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)2361}\\\end{array}$$

Since $2$ is less than $12$, use the next digit $3$ from dividend $2361$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)2361}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $2361$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)2361}\\\end{array}$$

Find closest multiple of $12$ to $23$. We see that $1 \times 12 = 12$ is the nearest. Now subtract $12$ from $23$ to get reminder $11$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)2361}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}11\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $2361$

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)2361}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}116\\\end{array}$$

Find closest multiple of $12$ to $116$. We see that $9 \times 12 = 108$ is the nearest. Now subtract $108$ from $116$ to get reminder $8$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{12)}019\phantom{6}\\12\overline{)2361}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}116\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}8\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $2361$

$$\begin{array}{l}\phantom{12)}019\phantom{7}\\12\overline{)2361}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}116\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}81\\\end{array}$$

Find closest multiple of $12$ to $81$. We see that $6 \times 12 = 72$ is the nearest. Now subtract $72$ from $81$ to get reminder $9$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{12)}0196\phantom{8}\\12\overline{)2361}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}116\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}81\\\phantom{12)}\underline{\phantom{99}72\phantom{}}\\\phantom{12)999}9\\\end{array}$$

Since $9$ is less than $12$, stop the division. The reminder is $9$. The topmost line $0196$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $196$.

$$\text{Quotient: }196$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{787}{2 ^ {2}} = 196\frac{3}{4} = 196.75$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor