How to solve (c) 31284/216

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 (c) 31284/216 | Equatix

Question

$$31284 \div 216$$

Evaluate

$\frac{869}{6}\approx 144.833333333$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $31284$

$$\begin{array}{l}\phantom{216)}\phantom{1}\\216\overline{)31284}\\\end{array}$$

Since $3$ is less than $216$, use the next digit $1$ from dividend $31284$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{216)}0\phantom{2}\\216\overline{)31284}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $31284$

$$\begin{array}{l}\phantom{216)}0\phantom{3}\\216\overline{)31284}\\\end{array}$$

Since $31$ is less than $216$, use the next digit $2$ from dividend $31284$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{216)}00\phantom{4}\\216\overline{)31284}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $31284$

$$\begin{array}{l}\phantom{216)}00\phantom{5}\\216\overline{)31284}\\\end{array}$$

Find closest multiple of $216$ to $312$. We see that $1 \times 216 = 216$ is the nearest. Now subtract $216$ from $312$ to get reminder $96$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{216)}001\phantom{6}\\216\overline{)31284}\\\phantom{216)}\underline{\phantom{}216\phantom{99}}\\\phantom{216)9}96\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $31284$

$$\begin{array}{l}\phantom{216)}001\phantom{7}\\216\overline{)31284}\\\phantom{216)}\underline{\phantom{}216\phantom{99}}\\\phantom{216)9}968\\\end{array}$$

Find closest multiple of $216$ to $968$. We see that $4 \times 216 = 864$ is the nearest. Now subtract $864$ from $968$ to get reminder $104$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{216)}0014\phantom{8}\\216\overline{)31284}\\\phantom{216)}\underline{\phantom{}216\phantom{99}}\\\phantom{216)9}968\\\phantom{216)}\underline{\phantom{9}864\phantom{9}}\\\phantom{216)9}104\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $31284$

$$\begin{array}{l}\phantom{216)}0014\phantom{9}\\216\overline{)31284}\\\phantom{216)}\underline{\phantom{}216\phantom{99}}\\\phantom{216)9}968\\\phantom{216)}\underline{\phantom{9}864\phantom{9}}\\\phantom{216)9}1044\\\end{array}$$

Find closest multiple of $216$ to $1044$. We see that $4 \times 216 = 864$ is the nearest. Now subtract $864$ from $1044$ to get reminder $180$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{216)}00144\phantom{10}\\216\overline{)31284}\\\phantom{216)}\underline{\phantom{}216\phantom{99}}\\\phantom{216)9}968\\\phantom{216)}\underline{\phantom{9}864\phantom{9}}\\\phantom{216)9}1044\\\phantom{216)}\underline{\phantom{99}864\phantom{}}\\\phantom{216)99}180\\\end{array}$$

Since $180$ is less than $216$, stop the division. The reminder is $180$. The topmost line $00144$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $144$.

$$\text{Quotient: }144$$ $$\text{Reminder: }180$$

Show Solution

Factor

$\frac{11 \cdot 79}{2 \cdot 3} = 144\frac{5}{6} = 144.83333333333334$

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Steps For Long Division Method

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