Solve 5642\div20 | Equatix

Question

$$5642 \div 20$$

Evaluate

$\frac{2821}{10}=282.1$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5642$

$$\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)5642}\\\end{array}$$

Since $5$ is less than $20$, use the next digit $6$ from dividend $5642$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)5642}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $5642$

$$\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)5642}\\\end{array}$$

Find closest multiple of $20$ to $56$. We see that $2 \times 20 = 40$ is the nearest. Now subtract $40$ from $56$ to get reminder $16$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{20)}02\phantom{4}\\20\overline{)5642}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)}16\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $5642$

$$\begin{array}{l}\phantom{20)}02\phantom{5}\\20\overline{)5642}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)}164\\\end{array}$$

Find closest multiple of $20$ to $164$. We see that $8 \times 20 = 160$ is the nearest. Now subtract $160$ from $164$ to get reminder $4$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{20)}028\phantom{6}\\20\overline{)5642}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)}164\\\phantom{20)}\underline{\phantom{}160\phantom{9}}\\\phantom{20)99}4\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $5642$

$$\begin{array}{l}\phantom{20)}028\phantom{7}\\20\overline{)5642}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)}164\\\phantom{20)}\underline{\phantom{}160\phantom{9}}\\\phantom{20)99}42\\\end{array}$$

Find closest multiple of $20$ to $42$. We see that $2 \times 20 = 40$ is the nearest. Now subtract $40$ from $42$ to get reminder $2$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{20)}0282\phantom{8}\\20\overline{)5642}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)}164\\\phantom{20)}\underline{\phantom{}160\phantom{9}}\\\phantom{20)99}42\\\phantom{20)}\underline{\phantom{99}40\phantom{}}\\\phantom{20)999}2\\\end{array}$$

Since $2$ is less than $20$, stop the division. The reminder is $2$. The topmost line $0282$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $282$.

$$\text{Quotient: }282$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{7 \cdot 13 \cdot 31}{2 \cdot 5} = 282\frac{1}{10} = 282.1$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor