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Fun Fact
21 st
Century #Subject Enrichment
Skills
Division by 9

Case 1: When the dividend is a two-digit Case 2: When the dividend is a three-digit
number number
In this case, the quotient is the number Quotient = The digit in the hundreds place
in the tens place of the dividend and the of the dividend followed by the sum of the
remainder is the sum of the digits in the digits in the hundreds and tens places.
dividend. Remainder = Sum of the digits in the

dividend
T O
a b Here, O–Ones Place; T–Tens Place; and
H– Hundreds Place
Quotient = a, Remainder = a + b
Also, remember if one number is followed

example 1. 16 ÷ 9 = ? by another number, it is written as
Solution. ‘First Number / Second Number’.
9 ) 16 ( Quotient = a | a + b, where H T O
Dividend = 16 a is in the tens place, a + b a b c

Digit in the tens place = 1 is in the ones place
Sum of the digits = 1 + 6 = 7 Remainder = a + b + c
So, Quotient = 1, Remainder = 7. example 4. 241 ÷ 9 =?
Solution.
example 2. 71 ÷ 9 =? 9 ) 241 (
Solution.

9 ) 71 ( Dividend = 241
Dividend = 71 Digit in the hundreds place = 2
Sum of the digits in the hundreds and
Digit in the tens place = 7 tens places = 2 + 4 = 6
Sum of the digits = 7 + 1 = 8 Quotient = 26, Remainder = 2 + 4 + 1 = 7
So, Quotient = 7, Remainder = 8.
example 5. 620 ÷ 9 = ?
example 3. 23 ÷ 9 = ? Solution.
Solution. 9 ) 620 (
9 ) 23 ( Dividend = 620
Dividend = 23 Digit in the hundreds place = 6
Digit in the tens place = 2 Sum of the digits in the hundreds and

Sum of its digits = 2 + 3 = 5 tens places = 6 + 2 = 8
So, Quotient = 2, Remainder = 5. Quotient = 68, Remainder = 6 + 2 + 0 = 8

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Division