Solve 134203\div333 | Equatix

Question

$$134203 \div 333$$

Evaluate

$\frac{134203}{333}\approx 403.012012012$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $134203$

$$\begin{array}{l}\phantom{333)}\phantom{1}\\333\overline{)134203}\\\end{array}$$

Since $1$ is less than $333$, use the next digit $3$ from dividend $134203$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{333)}0\phantom{2}\\333\overline{)134203}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $134203$

$$\begin{array}{l}\phantom{333)}0\phantom{3}\\333\overline{)134203}\\\end{array}$$

Since $13$ is less than $333$, use the next digit $4$ from dividend $134203$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{333)}00\phantom{4}\\333\overline{)134203}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $134203$

$$\begin{array}{l}\phantom{333)}00\phantom{5}\\333\overline{)134203}\\\end{array}$$

Since $134$ is less than $333$, use the next digit $2$ from dividend $134203$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{333)}000\phantom{6}\\333\overline{)134203}\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $134203$

$$\begin{array}{l}\phantom{333)}000\phantom{7}\\333\overline{)134203}\\\end{array}$$

Find closest multiple of $333$ to $1342$. We see that $4 \times 333 = 1332$ is the nearest. Now subtract $1332$ from $1342$ to get reminder $10$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{333)}0004\phantom{8}\\333\overline{)134203}\\\phantom{333)}\underline{\phantom{}1332\phantom{99}}\\\phantom{333)99}10\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $134203$

$$\begin{array}{l}\phantom{333)}0004\phantom{9}\\333\overline{)134203}\\\phantom{333)}\underline{\phantom{}1332\phantom{99}}\\\phantom{333)99}100\\\end{array}$$

Since $100$ is less than $333$, use the next digit $3$ from dividend $134203$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{333)}00040\phantom{10}\\333\overline{)134203}\\\phantom{333)}\underline{\phantom{}1332\phantom{99}}\\\phantom{333)99}100\\\end{array}$$

Use the $6^{th}$ digit $3$ from dividend $134203$

$$\begin{array}{l}\phantom{333)}00040\phantom{11}\\333\overline{)134203}\\\phantom{333)}\underline{\phantom{}1332\phantom{99}}\\\phantom{333)99}1003\\\end{array}$$

Find closest multiple of $333$ to $1003$. We see that $3 \times 333 = 999$ is the nearest. Now subtract $999$ from $1003$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{333)}000403\phantom{12}\\333\overline{)134203}\\\phantom{333)}\underline{\phantom{}1332\phantom{99}}\\\phantom{333)99}1003\\\phantom{333)}\underline{\phantom{999}999\phantom{}}\\\phantom{333)99999}4\\\end{array}$$

Since $4$ is less than $333$, stop the division. The reminder is $4$. The topmost line $000403$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $403$.

$$\text{Quotient: }403$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{43 \cdot 3121}{3 ^ {2} \cdot 37} = 403\frac{4}{333} = 403.012012012012$

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Steps For Long Division Method

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