chevron icon chevron icon chevron icon

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.

In this article, the lesson objective is:

  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:

Answer:

120

 

  1. What is the remainder? 

Answer:

5

 

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

Question 1: 

Do the following division.

\(4824 \div 2 =\) __________

 

Solution: 

   

Answer:

2412

 

Question 2: 

Perform the following division.

\(6009 \div 3 =\) __________

 

Solution:

Answer:

2003

 

Question 3: 

Perform the following division.

\(8012 \div 4 =\) __________

 

Solution: 

                  

Answer:

2003

 

Question 4:

Perform the following division.

\(5525 \div 5 =\) _________

 

Solution: 

        

Answer:

1105

 

Question 5: 

Perform the following division.

\(5649 \div 7 =\) __________

 

Solution: 

Answer:

807

 

Question 6:

Perform the following division.

\(2989 \div 4 =\) __________ \(\text{R}\) __________

 

Solution:

    

\(2989 \div 4 = 747 \text{ R } 1\)

Answer:

747  R  1

 

Question 7: 

Perform the following division.

\(7268 \div 8 =\) __________ \(\text{R}\) __________

 

Solution:    

\(7268 \div 8 = 908 \text{ R } 4\)

Answer:

908 R 4

 

Question 8: 

Perform the following division.

\(6572 \div 8 =\) __________ \(\text{R}\) __________

 

Solution:

\(6572 \div 8 = 821 \text{ R } 4\)

Answer:

821 R 4

 

Question 9: 

Solve the following 

__________ \(÷ \;8 = 183 \text{ R } 5\)

 

Solution:

There are 183 groups of 8 and 5 left.

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

Answer:

1469

 

Question 10: 

Solve the following. 

_________ \(÷ \;6 = 214 \text{ R } 3\)

 

Solution: 

There are 214 groups of 6 and 3 left.

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

Answer:

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: 

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

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

Answer:

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,

\(1082 \div 6 = 180 \text{ R } 2 \)

Answer:

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

\(4\) \(\times\) \(=\) \(2048\)  
    \(=\) \(2048 \div 4\)
      \(=\) \(512\)
         
\(+\) \(=\) \(512 + 512\)  
      \(=\) \(1024\)  

Answer:

(4) 1024

Continue Learning
Multiplication Whole Numbers
Multiplication And Division Decimals
Model Drawing Strategy Division
Fractions Factors And Multiples
Area And Perimeter 1 Line Graphs
Conversion Of Time  
Resources - Academic Topics
icon expand icon collapse Primary
icon expand icon collapse Secondary
icon expand icon collapse
Book a free product demo
Suitable for primary & secondary
select dropdown icon
Our Education Consultants will get in touch with you to offer your child a complimentary Strength Analysis.
Book a free product demo
Suitable for primary & secondary
icon close
Default Wrong Input
Get instant access to
our educational content
Start practising and learning.
No Error
arrow down arrow down
No Error
*By submitting your phone number, we have
your permission to contact you regarding
Geniebook. See our Privacy Policy.
Success
Let’s get learning!
Download our educational
resources now.
icon close
Error
Error
Oops! Something went wrong.
Let’s refresh the page!
Claim your free demo today!
Geniebook CTA Illustration Geniebook CTA Illustration
Turn your child's weaknesses into strengths
Geniebook CTA Illustration Geniebook CTA Illustration
close icon
close icon
Turn your child's weaknesses into strengths
Trusted by over 220,000 students.
 
Arrow Down Arrow Down
 
Error
Oops! Something went wrong.
Let’s refresh the page!
Error
Oops! Something went wrong.
Let’s refresh the page!
We got your request!
A consultant will be contacting you in the next few days to schedule a demo!
*By submitting your phone number, we have your permission to contact you regarding Geniebook. See our Privacy Policy.