1. Estimating
Quotients

2. Division Patterns 32 ÷ 8 = 4 320 ÷ 8 = 40 3,200 ÷ 8 = 400
32,000 ÷ 8 = 4,000
320,000 ÷ 8 = 40,000

3. Division Patterns 30 ÷ 5 = 6 300 ÷ 50 = 6 3,000 ÷ 500 = 6
30,000 ÷ 5,000 = 6
300,000 ÷ 50,000 = 6

4. Use Basic Math Facts to Find the Quotient4 4 3 3 1 2 3 4 1 2 3
300,000 ÷ 5,000 = 1 =
30 ÷ 5 = 6 - 6
1 zero in the quotient
Step 1: Find and solve the basic math fact.
Step 2: Count the zeros outside of the boxes in the dividend and divisor, then subtract.
Step 4: The difference tells you how many zeros to place in your quotient

5. Use Basic Math Facts to Find the Quotient3 3 1 2 3
28,000 ÷ 7 = 3 =
28 ÷ 7 = 4 -
4,000 4
000
3 zeros in the quotient
Step 1: Find and solve the basic math fact.
Step 2: Count the zeros outside of the boxes in the dividend and divisor, then subtract.
Step 4: The difference tells you how many zeros to place in your quotient

6. Use Basic Math Facts to Find the Quotient
1,200 ÷ 3 = 4 00
450,000 ÷ 90 = 5
,000
15,000 ÷ 5,000 = 3
56,000 ÷ 80 = 7 00
4,200,000 ÷ 7,000 = 6 00

7. Compatible Numbers
When estimating division problems, rounding will not work very well. You must use compatible numbers.
Compatible numbers are numbers that contain a basic division fact…
…8,100 ÷90, 720 ÷ 8, 144,000 ÷ 120

8. Estimating Quotients with Compatible Numbers
38,917 ÷ 45 = 40
,000 ÷ 5 = 8 00
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers
Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

9. Estimating Quotients with Compatible Numbers
46,749 ÷ 93 = 45
,000 ÷ 9 = 5 00
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers
Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

10. Estimating Quotients with Compatible Numbers
1,859 ÷ 481 =
2,0 00 ÷ 5 00 = 4
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers
Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

11. Estimating Quotients with Compatible Numbers) 49
2,867 6 ) 5
3,0 00
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers
Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

12. Estimating Quotients with Compatible Numbers
26,043 ÷ 852 = 24
,000 ÷ 8 00 = 3
33,842 ÷ 528 = 35
,000 ÷ 5 00 = 7

13. Estimating Quotients with Compatible Numbers
512 ÷ 7 = 49 ÷ 7 = 7
274 ÷ 36 = 28 ÷ = 7 4

14. Estimating Quotients with Compatible Numbers) 93
46,749 5 00 ) 9 45
,000