# Division

In Mathematics, there are four basic arithmetic operations, i.e. addition, subtraction, multiplication and division.

Division means to distribute a value/number/amount equally. Its result may or may not be a whole number. It can also be in the form of a decimal.

1. Division up to 4-digit by 1-digit numbers

## Long Division

Division can be done by the long division method.

Example:

Do the following division.

$965 \div 8 =$ __________

1. What is the quotient?

Solution:

120

1. What is the remainder?

5

## 1. Division Of 4-Digit Number By 1-Digit Number

Question 1:

Do the following division.

$4824 \div 2 =$ __________

Solution:

2412

Question 2:

Perform the following division.

$6009 \div 3 =$ __________

Solution:

2003

Question 3:

Perform the following division.

$8012 \div 4 =$ __________

Solution:

2003

Question 4:

Perform the following division.

$5525 \div 5 =$ _________

Solution:

1105

Question 5:

Perform the following division.

$5649 \div 7 =$ __________

Solution:

807

Question 6:

Perform the following division.

$2989 \div 4 =$ __________ $\text{R}$ __________

Solution:

$2989 \div 4 = 747 \text{ R } 1$

747  R  1

Question 7:

Perform the following division.

$7268 \div 8 =$ __________ $\text{R}$ __________

Solution:

$7268 \div 8 = 908 \text{ R } 4$

908 R 4

Question 8:

Perform the following division.

$6572 \div 8 =$ __________ $\text{R}$ __________

Solution:

$6572 \div 8 = 821 \text{ R } 4$

821 R 4

Question 9:

Solve the following

__________ $÷ \;8 = 183 \text{ R } 5$

Solution:

There are 183 groups of 8 and 5 left.

\begin{align}​​ 183 \times 8 &= 1464\\ 1464 + 5 &= 1469 \end{align}

1469

Question 10:

Solve the following.

_________ $÷ \;6 = 214 \text{ R } 3$

Solution:

There are 214 groups of 6 and 3 left.

\begin{align}​​ 214 \times 6 &= 1284\\ 1284 + 3 &= 1287 \end{align}

1287

Question 11:

When a number is divided by 4, it gives a quotient of 121 and the remainder is 1.

What is the number?

Solution:

Rewriting the question into an equation:

__________ $\div \;4 = 121 \text{ R } 1$

\begin{align}​​ 121 \times 4 &= 484\\ 484 + 1 &= 485 \end{align}

485

Question 12:

When a number is divided by 7, the quotient is 154 and the remainder is 4. What is the remainder when the same number is divided by 6?

Solution:

Rewriting the question into equations:

\begin{align} \text{_ _ _ _ _ _ _ _ _ _ } \div \;7 &= 154 \text{ R } 4 \\[2ex] \text{_ _ _ _ _ _ _ _ _ _ } \div \;6 &= \text{_ _ _ _ _ _ _ _ _ _ } \text{ R } \text{_ _ _ _ _ _ _ _ _ _ } \end{align}

Solving the first equation,

\begin{align}​​ 154 \times 7 &= 1078\\ 1078 + 4 &= 1082 \end{align}

Now, solving the second equation,

$1082 \div 6 = 180 \text{ R } 2$

2

Question 13:

Solve the following:

Which of the following is the correct answer?

1. 64
2. 132
3. 512
4. 1024

Solution:

Looking at the first equation,

 \begin{align}​​\\[2ex] &= 32 \div 8\\[2ex] &= 4 \end{align}

Looking at the second equation

 $4$ $\times$ $=$ $2048$ $=$ $2048 \div 4$ $=$ $512$ $+$ $=$ $512 + 512$ $=$ $1024$

(4) 1024

Continue Learning
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