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T.4 Divide by 4: quotients up to 12

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What is division by 4?

Dividing by 4 means splitting a whole number into 4 equal groups and finding how many are in each group, or finding how many groups of 4 you can make.

Examples:
  • 12 cookies shared equally among 4 friends → Each friend gets 3 cookies. (12 ÷ 4 = 3)
  • 20 books placed on 4 shelves equally → Each shelf gets 5 books. (20 ÷ 4 = 5)
Note

Division is the opposite of multiplication. If you know 4 × 6 = 24, then you know 24 ÷ 4 = 6.

All the division facts for 4

Here are the basic division facts you should memorize when dividing numbers up to 48 by 4. The answer to a division problem is called the quotient.

Division Facts Table (Quotients up to 12):
  • 4 ÷ 4 = 1
  • 8 ÷ 4 = 2
  • 12 ÷ 4 = 3
  • 16 ÷ 4 = 4
  • 20 ÷ 4 = 5
  • 24 ÷ 4 = 6
  • 28 ÷ 4 = 7
  • 32 ÷ 4 = 8
  • 36 ÷ 4 = 9
  • 40 ÷ 4 = 10
  • 44 ÷ 4 = 11
  • 48 ÷ 4 = 12
Note

Notice the pattern: the dividends (numbers being divided) increase by 4 each time, and the quotients increase by 1.

How to solve division by 4 problems

You can solve division problems by thinking of equal groups, using repeated subtraction, or by relating the problem to a multiplication fact you already know.

Methods:
  • Equal Groups: "Divide 28 into 4 equal groups." Draw 4 circles and put counters into them one by one until you've used 28. Each group will have 7.
  • Repeated Subtraction: Start at 32. Keep subtracting 4: 32 - 4 = 28, 28 - 4 = 24... until you reach 0. Count how many times you subtracted (8 times). So, 32 ÷ 4 = 8.
  • Think Multiplication: Ask yourself, "4 times what number equals 36?" Since 4 × 9 = 36, then 36 ÷ 4 = 9.
Note

The "Think Multiplication" method is often the fastest once you learn your multiplication facts.

Checking your division work

You can check a division answer by multiplying the quotient (answer) by 4. The result should equal the original number you divided.

Example:
  • Problem: 44 ÷ 4 = 11
  • Check: 11 × 4 = 44
  • Since 11 × 4 equals 44, the division is correct.
Note

Always check your work. This helps catch mistakes and strengthens your understanding of how multiplication and division are connected.