1. Division Using multiplication and repeated subtraction

2. What’s It All About? You are going to learn: How to divide by inversing multiplication and using repeated subtraction. What skills should you have already? You need to be able to multiply and subtract two values using a written method.

3. Remember that 6 ÷ 3 means “how many threes make 6?” Division is the INVERSE of Multiplication. There are different ways of showing division. 6 ÷ 3 The answer is the same in all three cases! Division

4. For multiplying, we can use a grid like this: We can now use it to divide as well as multiply. Example: 20  4 means “How many 4’s make 20?” Using Multiplying to Divide 123456789 224681012141618 3369121518212427 44812162024283236 551015202530354045 661218243036424854 The answer is 5.

5. Remember that 6 ÷ 3 means “how many threes make 6?” Work out: 1. 16 ÷ 4 2. 30 ÷ 5 3. 30 ÷ 10 4. 45 ÷ 9 5. 72 ÷ 8 6. 21 ÷ 3 7. 21 ÷ 7 Your Turn

6. Work out £192 ÷ 6 Set up the method: Multiply 6 by something easy such as 10 or 100, then subtract. Repeat this until you have nothing left or the number that is left is less than 6. Stop. Total up the 6’s. 10 Repeated Subtraction 1 2 32 12 0 6192 60 132 10 60 1060 72 12 £192  6 = 32

7. Work out £324 ÷ 12 Set up the method: Multiply 12 by something easy such as 10 or 100, then subtract. Repeat this until you have nothing left or the number that is left is less than 12. Stop. Total up the 12’s. 10 Repeated Subtraction 2 2 27 24 0 12324 120 204 10 120 560 84 24 £324  12 = 27

8. Work out £3010 ÷ 14 Set up the method: Multiply 14 by something easy such as 10 or 100, then subtract. Repeat this until you have nothing left or the number that is left is less than 14. Stop. Total up the 14’s. 100 Repeated Subtraction 3 5 215 70 0 143010 1400 1610 100 1400 10140 210 70 £3010  14 = 215 Choosing sensible numbers reduces the amount of subtracting you have to do....

9. Remember that 6 ÷ 3 means “how many threes make 6?” Work out: 1. 164 ÷ 4 2. 305 ÷ 5 3. 3040 ÷ 10 4. 4509 ÷ 9 Your Turn 5. 156 ÷ 12 6. 315 ÷ 15 7. 3040 ÷ 20 8. 2814 ÷ 14

10. End