 Study P4 Mathematics Maths - Division - Geniebook   # 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

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Multiplication
Whole Numbers
Line Graphs
Time
Multiplication And Division
Decimals
Model Drawing Strategy
Division
Fractions
Factors And Multiples
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