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2. Find the quotient and remainder without doing long division.
Quotient Remainder Quotient Remainder

a. 641 ÷ 100 _________ _________ b. 868 ÷ 100 _________ _________
c. 550 ÷ 100 _________ _________ d. 708 ÷ 100 _________ _________
e. 900 ÷ 100 _________ _________ f. 2365 ÷ 100 _________ _________

g. 3708 ÷ 100 _________ _________ h. 5064 ÷ 100 _________ _________
3. Using the rule of division by 1000, find the quotient and remainder.

Quotient Remainder Quotient Remainder
a. 2033 ÷ 1000 ________ ________ b. 3655 ÷ 1000 ________ ________
c. 5009 ÷ 1000 ________ ________ d. 4603 ÷ 1000 ________ ________

e. 9300 ÷ 1000 ________ ________ f. 5784 ÷ 1000 ________ ________

eStimAting the QUotient

Estimation means finding an answer that is close to the exact one. It gives us an
approximate value rather than the precise result.
To estimate a quotient, we round off the divisor, the dividend, or sometimes both to
their nearest tens, hundreds, or thousands, and then divide the rounded numbers.

This makes the calculation easier and gives an idea of what the actual answer will be.
example 1. Estimate the quotients by rounding the numbers to their highest place:
a. 64 ÷ 14 b. 89 ÷ 26

Solution. a. 64 ÷ 14 b. 89 ÷ 26
64 rounds to 60 89 rounds to 90

14 rounds to 10 26 rounds to 30

So, 64 ÷ 14 → 60 ÷ 10 So, 89 ÷ 26 → 90 ÷ 30
We have Q = 6, R = 0. We have Q = 3, R = 0.

The estimated quotient = 6. The estimated quotient = 3.

example 2. Estimate the quotients by rounding the numbers to their highest place:
a. 447 ÷ 38 b. 1856 ÷ 46
Solution. a. 447 ÷ 38 b. 1856 ÷ 46

447 rounds to 400 1856 rounds to 2000
38 rounds to 40 46 rounds to 50

So, 447 ÷ 38 → 400 ÷ 40 So, 1856 ÷ 46 → 2000 ÷ 50
We have Q = 10, R = 0. We have Q = 40, R = 0.

The estimated quotient = 10. The estimated quotient = 40.

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Division