We will learn estimating the quotient.

In a division sum, when the divisor is made up of 2 digits or more
than 2 digits, it helps if we first estimate the quotient and then try
to find the actual number.

(i) Divide 84 by 21

Round the number to the nearest ten

84 ÷ 21 → 80 ÷ 20

Calculate mentally.

8 ÷ 2 = 4

**Estimated quotient = 4**

(ii) 242 ÷ 22

Round to the nearest ten

240 ÷ 20

Calculate mentally

24 ÷ 2 = 12

**Estimated quotient = 12**

In
the process of division, the estimation of quotient plays a great role
in its solution. Let us see this in the following questions on division.

**1.** 74 ÷ 35

**2.** 627 ÷ 23

**3.** 694 ÷ 56

**4.** 975 ÷ 48

1. **74 ÷ 35 **is approximately the same as 70 ÷ 40, i.e., 7 ÷ 4 (74 → 70 & 35 → 40)

7 ÷ 4 is approximately 2.

So, estimated quotient is 2.

2. **627 ÷ 23** is approximately the same as 600 ÷ 20 = 60 ÷ 2 = 30

(627 → 600 & 23 → 20)

So, the estimated quotient is 30.

3. **694 ÷ 56** is approximately the same as 700 ÷ 60 or 70 ÷ 6

70 ÷ 6 is approximately = 12.

So, the estimated quotient =12

4. **975 ÷ 48** is approximately 1000 ÷ 50 = 100 ÷ 5 = 20

So, estimated quotient = 20

**Related Concept**

● Addition

● Check for Subtraction and Addition

● Word Problems Involving Addition and Subtraction

● Estimating Sums and Differences

● Multiply a Number by a 2-Digit Number

● Multiplication of a Number by a 3-Digit Number

● Word Problems on Multiplication

● Division of Two-Digit by a One-Digit Numbers

● Division of Four-Digit by a One-Digit Numbers

● Division by 10 and 100 and 1000

● Division by Two-Digit Numbers

**4th Grade Math Activities**

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