CONFIDENTIAL 1

Today our topic of discussion will be: Division by 2 digit divisors

Good Afternoon!

Let’s Warm up:.

1) Estimate: 326 ÷ 6

2) 2500 ÷ 5

3) 67 ÷ 7

4) 86 ÷ 9

5) 345 ÷ 4

1) 55

2) 500

3) Q = 9, R = 4

4) Q = 9, R = 5

5) Q = 86, R = 1

CONFIDENTIAL 2

We can apply the concept of Place value to find the solution of multiples of 10.

42 ones ÷ 6 = 7 ones

42 tens ÷ 6 = 7 tens

42 hundreds ÷ 6 = 7 hundreds

42 ÷ 6 = 7

420 ÷ 6 = 70

4,200 ÷ 6 = 700

42 is the Dividend, 6 is the divisor, 7

is the quotient.

REVIEW

CONFIDENTIAL 3

Numbers that are close to the number in a problem and are easy to divide mentally are Compatible Numbers.

The objective of finding Compatible numbers is the Estimation of Quotients.

Compatible numbers help to find the multiple that is closest to the dividend, so it is easier to divide mentally.

Estimate 123 ÷ 4

120 ÷ 4 = 30

120 and 4 are compatible numbers.

REVIEW

CONFIDENTIAL 4

Divide 114 by 3.

STEP 1:

We will solve this with the help of paper-pencil.

3 114

3

-9

2

3 tens in each

group.

2 tens left

11 tens, 4 ones

9 tens used

STEP 2:

3 114

3

-9

24

Bring down 4 ones.

24 ones in all.

REVIEW

CONFIDENTIAL 5

STEP 3:

3 114

38

-9

24-24

0

8 ones in each

group.

24 ones used.

0 ones left.

REVIEW

CONFIDENTIAL 6

Divide 411 by 4.

STEP 1:

4 411

Estimate to place the first digit.

STEP 2:

4 411

1Divide the hundreds.

4 = 4, enough to divide. So, the first digit is in the hundreds place.

Divide 4 ÷ 4 = 1. Put 1 in the quotient. Subtract 4 – 4 = 0.Place a ‘0’ in the hundredth column.

- 4

0

Quotients with zero.REVIEW

CONFIDENTIAL 7

STEP 3:

4 411

10

- 4

01

Bring down the tens.

Divide the tens.

- 01

1 < 4, not enough to divide. Put 0 in the quotient.Subtract: 1 – 0 = 1

STEP 4: Bring down the ones. Divide the

ones.4 411

102

- 4

01- 011- 8

3

8 < 11, enough to divide. Multiply 4 x 2 = 8. Subtract: 11 – 8 = 3.Compare: 3 < 4, so, 3 is the remainder.

REVIEW

CONFIDENTIAL 8

Let’s start with the new topic now

Find 4,200 ÷ 60

Here also we can apply the concept of Place value to find the solution as in the previous lesson.

42 ones ÷ 6 = 7 ones

42 tens ÷ 6 tens = 7 ones

42 hundreds ÷ 6tens = 7 tens

42 ÷ 6 = 7

420 ÷ 60 = 7

4,200 ÷ 60 = 70

42 is the Dividend, 6 is the divisor, 7

is the quotient.

CONFIDENTIAL 9

Estimate 356 ÷ 40

So, 360 ÷ 40 = 9

The basic fact is: 36 ÷ 4 = 9

The estimate of 356 ÷ 41 is 9.

356 is closer to 360.41 is closer to 40.

We have learnt to estimate quotients by using Compatible Numbers.Here we will use division facts to find a compatible number for 356

and 40.

CONFIDENTIAL 10

Divide 43 by 20.

We will solve this with the help of place-value models.

43 can be shown as 4 tens and 3 ones.We will draw rectangles to show 2 groups of 20.

STEP 1:

20 43

On paper and pencil:

CONFIDENTIAL 11

Place an equal number of tens in each group of 20 blocks.

20 43

On paper and pencil:

2

- 403

There will be 3 ones left. This is the Remainder.

STEP 2:

CONFIDENTIAL 12

Find 169 ÷ 12

Show 169 using place-value models.

Regroup hundreds as tens.

CONFIDENTIAL 13

Regroup the tens as ones.

1 one left is Remainder.

CONFIDENTIAL 14

12 169

On paper and

pencil: STEP 1:

12 169

1

- 124

1 tens in each group.

12 tens in used.4 tens left.

STEP 2:

12< 16. So there are enough tens.

CONFIDENTIAL 15

12 169

1

- 1249

Bring down 9 ones.49 ones in all.

STEP 3:

STEP 4:

12 169

14

- 1249

- 481

48 ones used.1 left is Remainder.

CONFIDENTIAL 16

BREAK

CONFIDENTIAL 17

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CONFIDENTIAL 18

Assignments

Divide:

1) 9,000 by 30 2) 3,600 by 90

3) 4,500 by 50

1) 300 2) 40

3) 90

CONFIDENTIAL 19

4) Savio covers a distance of 180 miles driving his car. If he covers 15 miles in 1 hour, then for how many hours does he

drives?

4) 12 hours

CONFIDENTIAL 20

Estimate:

5) 311 ÷ 20 6) 795 ÷ 19

5) 15 6) 40

CONFIDENTIAL 21

Find:

7) 62 ÷ 20 8) 83 ÷ 10

9) 413 by 37 10) 752 by 21

7) Q = 3, R = 2 8) Q = 8, R = 3

9) Q = 11, R = 6 10) Q = 35, R = 17

CONFIDENTIAL 22

Very Good!Let's Review

Find 4,200 ÷ 60

Here also we can apply the concept of Place value to find the solution as in the previous lesson.

42 ones ÷ 6 = 7 ones

42 tens ÷ 6 tens = 7 ones

42 hundreds ÷ 6 tens = 7 tens

42 ÷ 6 = 7

420 ÷ 60 = 7

4,200 ÷ 60 = 70

42 is the Dividend, 6 is the divisor, 7

is the quotient.

CONFIDENTIAL 23

Estimate 356 ÷ 40

We have learnt to estimate quotients by using Compatible Numbers.

Here we will use division facts to find a compatible number for 356.

356 is closer to 360.

So, 360 ÷ 40 = 9

The basic fact is: 36 ÷

4 = 9The estimate of 356 ÷ 40 is 9.

Find 169 ÷ 12

12 169

STEP 1:

12 169

1

- 124

1 tens in each group.

12 tens in used.4 tens left.

STEP 2:

12< 16. So there are enough tens.

41 is closer to 40.

CONFIDENTIAL 24

12 169

1

- 1249

Bring down 9 ones.49 ones in all.

STEP 3:

STEP 4:

12 169

14

- 1249

- 481

48 ones used.1 left is Remainder.

CONFIDENTIAL 25

You have done a nice job.See you in the next session.