1. Today our topic of discussion will be: Division by 2 digit divisors
Good Afternoon!
Today our topic of discussion will be:
Division by 2 digit divisors
Let’s Warm up:.
1) Estimate: 326 ÷ 6
2) 2500 ÷ 5
3) 67 ÷ 7
4) 86 ÷ 9
5) 345 ÷ 4
CONFIDENTIAL

2. 42 is the Dividend, 6 is the divisor, 7 is the quotient.
REVIEW
We can apply the concept of Place value to find the solution of multiples of 10.
42 is the Dividend, 6 is the divisor, 7 is the quotient.
42 ones ÷ 6 = 7 ones
42 ÷ 6 = 7
42 tens ÷ 6 = 7 tens
420 ÷ 6 = 70
42 hundreds ÷ 6 = 7 hundreds
4,200 ÷ 6 = 700
CONFIDENTIAL

3. 120 and 4 are compatible numbers.
REVIEW
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.
Estimate 123 ÷ 4
120 ÷ 4 = 30
120 and 4 are compatible numbers.
Compatible numbers help to find the multiple that is closest to the dividend, so it is easier to divide mentally.
CONFIDENTIAL

4. We will solve this with the help of paper-pencil.
REVIEW
Divide 114 by 3.
We will solve this with the help of paper-pencil.
3 tens in each group.
STEP 1: 3
11 tens, 4 ones 3
114
2 tens left -9
9 tens used 2
STEP 2:
Bring down 4 ones. 3 3
114 -9 24
24 ones in all.
CONFIDENTIAL

5. REVIEW STEP 3: 8 ones in each group. 38 3 114 -9 24 -24 0 ones left.
24 ones used.
CONFIDENTIAL

6. REVIEW Quotients with zero. Divide 411 by 4.
Estimate to place the first digit.
STEP 1: 4
411
4 = 4, enough to divide. So, the first digit is in the hundreds place.
STEP 2:
Divide the hundreds. 1 4
411
- 4
Divide 4 ÷ 4 = 1. Put 1 in the quotient. Subtract 4 – 4 = 0.
Place a ‘0’ in the hundredth column.
CONFIDENTIAL

7. Bring down the tens. Divide the tens.
REVIEW 10
Bring down the tens. Divide the tens. 4
411
- 4
STEP 3: 01
- 0 1
1 < 4, not enough to divide. Put 0 in the quotient.
Subtract: 1 – 0 = 1
Bring down the ones. Divide the ones.
STEP 4:
102 4
411
- 4 01
- 0 11
- 8 3
8 < 11, enough to divide. Multiply 4 x 2 = 8. Subtract: 11 – 8 = 3.
Compare: 3 < 4, so, 3 is the remainder.
CONFIDENTIAL

8. 42 is the Dividend, 6 is the divisor, 7 is the quotient.
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 is the Dividend, 6 is the divisor, 7 is the quotient.
42 ones ÷ 6 = 7 ones
42 ÷ 6 = 7
42 tens ÷ 6 tens = 7 ones
420 ÷ 60 = 7
42 hundreds ÷ 6tens = 7 tens
4,200 ÷ 60 = 70
CONFIDENTIAL

9. 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.
356 is closer to 360.
41 is closer to 40.
The basic fact is: 36 ÷ 4 = 9
So, 360 ÷ 40 = 9
The estimate of 356 ÷ 41 is 9.
CONFIDENTIAL

10. We will solve this with the help of place-value models.
Divide 43 by 20.
We will solve this with the help of place-value models.
STEP 1:
43 can be shown as 4 tens and 3 ones.
We will draw rectangles to show 2 groups of 20.
On paper and pencil: 20 43
CONFIDENTIAL

11. Place an equal number of tens in each group of 20 blocks.
STEP 2:
Place an equal number of tens in each group of 20 blocks.
On paper and pencil: 2 20 43
- 40 3
There will be 3 ones left. This is the Remainder.
CONFIDENTIAL

12. Regroup hundreds as tens.
Find 169 ÷ 12
Show 169 using place-value models.
Regroup hundreds as tens.
CONFIDENTIAL

13. Regroup the tens as ones.
Place an equal number of tens in each group of 12 blocks.
1 one left is Remainder.
CONFIDENTIAL

14. On paper and pencil: STEP 1: 12 169 STEP 2: 1 12 169 - 12 4
12< 16. So there are enough tens.
STEP 2: 1
1 tens in each group. 12
169
- 12
12 tens in used. 4
4 tens left.
CONFIDENTIAL

15. STEP 3: 1 12
169
Bring down 9 ones.
- 12 49
49 ones in all.
STEP 4: 14 12
169
- 12 49
- 48
48 ones used. 1
1 left is Remainder.
CONFIDENTIAL

16. BREAK
CONFIDENTIAL

17. Click on the link below for some exciting puzzle
GAME
Click on the link below for some exciting puzzle
CONFIDENTIAL

18. Assignments Divide: 1) 9,000 by 30 2) 3,600 by 90 3) 4,500 by 50
CONFIDENTIAL

19. 4) Savio covers a distance of 180 miles driving his car
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?
CONFIDENTIAL

20. Estimate:
5) 311 ÷ 20
6) 795 ÷ 19
CONFIDENTIAL

21. Find:
7) 62 ÷ 20
8) 83 ÷ 10
9) 413 ÷ 37
10) 752 ÷ 21
CONFIDENTIAL

22. 42 is the Dividend, 6 is the divisor, 7 is the quotient.
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 is the Dividend, 6 is the divisor, 7 is the quotient.
42 ones ÷ 6 = 7 ones
42 ÷ 6 = 7
42 tens ÷ 6 tens = 7 ones
420 ÷ 60 = 7
42 hundreds ÷ 6tens = 7 tens
4,200 ÷ 60 = 70
CONFIDENTIAL

23. 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.
356 is closer to 360.
The basic fact is: 36 ÷ 4 = 9
41 is closer to 40.
So, 360 ÷ 40 = 9
The estimate of 356 ÷ 40 is 9.
Find 169 ÷ 12
STEP 1: 12
169
12< 16. So there are enough tens.
STEP 2: 1
1 tens in each group. 12
169
- 12
12 tens in used. 4
4 tens left.
CONFIDENTIAL

24. STEP 3: 1 12
169
Bring down 9 ones.
- 12 49
49 ones in all.
STEP 4: 14 12
169
- 12 49
- 48
48 ones used. 1
1 left is Remainder.
CONFIDENTIAL

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