How to solve (1820)/(231)

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 (1820)/(231) | Equatix

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Question

$$\frac{ 1820 }{ 231 }$$

Evaluate

$\frac{260}{33}\approx 7.878787879$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1820$

$$\begin{array}{l}\phantom{231)}\phantom{1}\\231\overline{)1820}\\\end{array}$$

Since $1$ is less than $231$, use the next digit $8$ from dividend $1820$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{231)}0\phantom{2}\\231\overline{)1820}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $1820$

$$\begin{array}{l}\phantom{231)}0\phantom{3}\\231\overline{)1820}\\\end{array}$$

Since $18$ is less than $231$, use the next digit $2$ from dividend $1820$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{231)}00\phantom{4}\\231\overline{)1820}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $1820$

$$\begin{array}{l}\phantom{231)}00\phantom{5}\\231\overline{)1820}\\\end{array}$$

Since $182$ is less than $231$, use the next digit $0$ from dividend $1820$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{231)}000\phantom{6}\\231\overline{)1820}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1820$

$$\begin{array}{l}\phantom{231)}000\phantom{7}\\231\overline{)1820}\\\end{array}$$

Find closest multiple of $231$ to $1820$. We see that $7 \times 231 = 1617$ is the nearest. Now subtract $1617$ from $1820$ to get reminder $203$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{231)}0007\phantom{8}\\231\overline{)1820}\\\phantom{231)}\underline{\phantom{}1617\phantom{}}\\\phantom{231)9}203\\\end{array}$$

Since $203$ is less than $231$, stop the division. The reminder is $203$. The topmost line $0007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }203$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 \cdot 13}{3 \cdot 11} = 7\frac{29}{33} = 7.878787878787879$