Hello Year 4! Today, we are going to learn about the formal method of division. Division is all about sharing or grouping things equally. When we divide, we want to know how many times one number can fit into another. Let’s make it easy to understand!

What is Division?

Division is breaking a number into smaller, equal parts. For example, if you have 12 sweets and you want to share them with 3 friends, you would divide 12 by 3. Each friend would get 4 sweets!

$$12 \div 3 = 4$$

The Formal Method of Division

The formal method of division is a clear way to solve division problems. Here’s a step-by-step guide:

Step 1: Set Up Your Problem

Write the number you are dividing (the dividend) inside the division bracket and the number you are dividing by (the divisor) outside the bracket. For example, if we want to divide 36 by 4, it looks like this: 

    ______ 4 | 36

Step 2: Divide

Think about how many times the divisor (4) can fit into the first digit of the dividend (3). Since 4 is bigger than 3, we can’t do that. So, we look at the first two digits (36).

Now, ask yourself: How many times does 4 fit into 36? The answer is 9, because:

$$4 \times 9 = 36$$

Step 3: Write the Answer

Write the 9 above the division bracket: 

    9    ______ 4 | 36

Step 4: Multiply

Now, multiply the divisor (4) by the answer (9):

$$4 \times 9 = 36$$

Step 5: Subtract

Next, subtract 36 from 36:

$$36 – 36 = 0$$

Step 6: Remainder

If there is any number left (a remainder), you would write that next to your answer. In this case, there is no remainder.

So, we find that:

$$36 \div 4 = 9$$

Key Rules for Division

  1. Know Your Times Tables: The more you know your times tables, the easier division will be!
  2. Remainders: Sometimes, numbers won’t divide perfectly. For example, if you divide 10 by 3, you get 3 with a remainder of 1 (because 3 x 3 = 9, and 10 – 9 = 1).
  3. Check Your Work: You can check your answer by multiplying the quotient by the divisor and adding the remainder (if there is one).

Tips and Tricks

  • Use a number line or draw groups to help visualize division.
  • Practice with real-life examples, like sharing sweets or toys!
  • Remember: Division is the opposite of multiplication.

Questions for Practice

Easy Level Questions

  1. 12 ÷ 3 = ?
  2. 20 ÷ 5 = ?
  3. 15 ÷ 3 = ?
  4. 18 ÷ 6 = ?
  5. 24 ÷ 4 = ?
  6. 10 ÷ 2 = ?
  7. 30 ÷ 10 = ?
  8. 14 ÷ 7 = ?
  9. 16 ÷ 4 = ?
  10. 21 ÷ 3 = ?
  11. 8 ÷ 2 = ?
  12. 25 ÷ 5 = ?
  13. 9 ÷ 3 = ?
  14. 40 ÷ 8 = ?
  15. 22 ÷ 2 = ?
  16. 36 ÷ 6 = ?
  17. 27 ÷ 3 = ?
  18. 48 ÷ 12 = ?
  19. 45 ÷ 9 = ?
  20. 50 ÷ 10 = ?

Medium Level Questions

  1. 56 ÷ 7 = ?
  2. 63 ÷ 9 = ?
  3. 81 ÷ 9 = ?
  4. 72 ÷ 8 = ?
  5. 88 ÷ 11 = ?
  6. 54 ÷ 6 = ?
  7. 64 ÷ 8 = ?
  8. 90 ÷ 10 = ?
  9. 77 ÷ 7 = ?
  10. 33 ÷ 3 = ?
  11. 96 ÷ 12 = ?
  12. 42 ÷ 6 = ?
  13. 36 ÷ 4 = ?
  14. 48 ÷ 6 = ?
  15. 60 ÷ 5 = ?
  16. 84 ÷ 12 = ?
  17. 45 ÷ 5 = ?
  18. 27 ÷ 9 = ?
  19. 100 ÷ 10 = ?
  20. 66 ÷ 11 = ?

Hard Level Questions

  1. 144 ÷ 12 = ?
  2. 225 ÷ 15 = ?
  3. 168 ÷ 14 = ?
  4. 192 ÷ 16 = ?
  5. 252 ÷ 9 = ?
  6. 275 ÷ 25 = ?
  7. 315 ÷ 21 = ?
  8. 420 ÷ 20 = ?
  9. 480 ÷ 30 = ?
  10. 576 ÷ 24 = ?
  11. 648 ÷ 36 = ?
  12. 729 ÷ 27 = ?
  13. 800 ÷ 40 = ?
  14. 945 ÷ 15 = ?
  15. 1080 ÷ 36 = ?
  16. 1200 ÷ 60 = ?
  17. 1350 ÷ 45 = ?
  18. 1500 ÷ 75 = ?
  19. 1620 ÷ 54 = ?
  20. 1800 ÷ 60 = ?

Answers

Easy Level Answers

  1. 4
  2. 4
  3. 5
  4. 3
  5. 6
  6. 5
  7. 3
  8. 2
  9. 4
  10. 7
  11. 4
  12. 5
  13. 3
  14. 5
  15. 11
  16. 6
  17. 9
  18. 4
  19. 5
  20. 5

Medium Level Answers

  1. 8
  2. 7
  3. 9
  4. 9
  5. 8
  6. 9
  7. 8
  8. 9
  9. 11
  10. 11
  11. 8
  12. 7
  13. 9
  14. 8
  15. 12
  16. 7
  17. 5
  18. 3
  19. 10
  20. 6

Hard Level Answers

  1. 12
  2. 15
  3. 12
  4. 12
  5. 28
  6. 11
  7. 15
  8. 21
  9. 16
  10. 24
  11. 18
  12. 27
  13. 20
  14. 63
  15. 30
  16. 20
  17. 30
  18. 20
  19. 30
  20. 30

I hope you enjoyed learning about the formal method of division! Keep practicing, and you’ll become a division pro in no time!