How to solve (12208)/(218)

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 (12208)/(218) | Equatix

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Question

$$\frac{ 12208 }{ 218 }$$

Evaluate

$56$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $12208$

$$\begin{array}{l}\phantom{218)}\phantom{1}\\218\overline{)12208}\\\end{array}$$

Since $1$ is less than $218$, use the next digit $2$ from dividend $12208$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{218)}0\phantom{2}\\218\overline{)12208}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $12208$

$$\begin{array}{l}\phantom{218)}0\phantom{3}\\218\overline{)12208}\\\end{array}$$

Since $12$ is less than $218$, use the next digit $2$ from dividend $12208$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{218)}00\phantom{4}\\218\overline{)12208}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $12208$

$$\begin{array}{l}\phantom{218)}00\phantom{5}\\218\overline{)12208}\\\end{array}$$

Since $122$ is less than $218$, use the next digit $0$ from dividend $12208$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{218)}000\phantom{6}\\218\overline{)12208}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $12208$

$$\begin{array}{l}\phantom{218)}000\phantom{7}\\218\overline{)12208}\\\end{array}$$

Find closest multiple of $218$ to $1220$. We see that $5 \times 218 = 1090$ is the nearest. Now subtract $1090$ from $1220$ to get reminder $130$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{218)}0005\phantom{8}\\218\overline{)12208}\\\phantom{218)}\underline{\phantom{}1090\phantom{9}}\\\phantom{218)9}130\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $12208$

$$\begin{array}{l}\phantom{218)}0005\phantom{9}\\218\overline{)12208}\\\phantom{218)}\underline{\phantom{}1090\phantom{9}}\\\phantom{218)9}1308\\\end{array}$$

Find closest multiple of $218$ to $1308$. We see that $6 \times 218 = 1308$ is the nearest. Now subtract $1308$ from $1308$ to get reminder $0$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{218)}00056\phantom{10}\\218\overline{)12208}\\\phantom{218)}\underline{\phantom{}1090\phantom{9}}\\\phantom{218)9}1308\\\phantom{218)}\underline{\phantom{9}1308\phantom{}}\\\phantom{218)99999}0\\\end{array}$$

Since $0$ is less than $218$, stop the division. The reminder is $0$. The topmost line $00056$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $56$.

$$\text{Quotient: }56$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{3}\times 7$