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\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

2. Division by Itself: When a number (other than 0) is divided by itself, the quotient
is 1.

Examples: (a) 32 ÷ 32 = 1 (b) 13 × 1 = 13 (c) 340 × 1 = 340

3. Division of 0 by a Number: Zero divided by any
non-zero number gives the quotient zero. Think Tank

Examples: (a) 0 ÷ 18 = 0 (b) 0 ÷ 324 = 0 State true or False.
Dividing 0 by any number
4. Division by 0: The division of any number by zero always gives a quotient

is not defined. greater than zero.

Practice time 4A

Fill in the blanks.

1. The division of 153 ÷ 9 has

dividend = ______, divisor = ______, quotient = ______, remainder = ______

2. The division of 215 ÷ 8 has
dividend = ______, divisor = ______, quotient = ______, remainder = ______

3. 4216 ÷ ________ = 4216 4. ______ ÷ 712 = 1

5. _______ ÷ 152 = 0 6. ______ ÷ 278 = 0
7. 0 ÷ 1024 = ______________ 8. ______ ÷ 3247 = 1

Division of 4- anD 5-Digit numbers by 1-Digit number

In the previous class, we have learnt the division of 3-digit numbers by 1-digit numbers.
Here, we will extend our learning by dividing 4- and 5-digit numbers by 1-digit numbers.

Example 1: Divide 4731 by 3.

Solution: We write the dividend inside the division brackets and the 3 4731
divisor outside the brackets as shown.

Step 1: Start dividing from the highest place. Since 4 > 3. Divide 4
thousands by 3. We get the quotient 1 and the remainder 1.

Step 2: Bring down 7 hundreds along with the remainder 1, making it 17
hundreds.

Step 3: Divide 17 hundreds by 3. We get the Be Aware

quotient 5 and the remainder 2. At each step, when
another digit is required
Step 4: Bring down the tens digit 3 next to the for division, it is called
remainder 2, making it 23 tens. “bringing down”.

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