Solve 13212\div1000 | Equatix

Question

$$13212 \div 1000$$

Evaluate

$\frac{3303}{250}=13.212$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $13212$

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)13212}\\\end{array}$$

Since $1$ is less than $1000$, use the next digit $3$ from dividend $13212$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)13212}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $13212$

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)13212}\\\end{array}$$

Since $13$ is less than $1000$, use the next digit $2$ from dividend $13212$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)13212}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $13212$

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)13212}\\\end{array}$$

Since $132$ is less than $1000$, use the next digit $1$ from dividend $13212$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)13212}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $13212$

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)13212}\\\end{array}$$

Find closest multiple of $1000$ to $1321$. We see that $1 \times 1000 = 1000$ is the nearest. Now subtract $1000$ from $1321$ to get reminder $321$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)13212}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}321\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $13212$

$$\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)13212}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}3212\\\end{array}$$

Find closest multiple of $1000$ to $3212$. We see that $3 \times 1000 = 3000$ is the nearest. Now subtract $3000$ from $3212$ to get reminder $212$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{1000)}00013\phantom{10}\\1000\overline{)13212}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}3212\\\phantom{1000)}\underline{\phantom{9}3000\phantom{}}\\\phantom{1000)99}212\\\end{array}$$

Since $212$ is less than $1000$, stop the division. The reminder is $212$. The topmost line $00013$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $13$.

$$\text{Quotient: }13$$ $$\text{Reminder: }212$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 367}{2 \cdot 5 ^ {3}} = 13\frac{53}{250} = 13.212$

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Steps For Long Division Method

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