Shortcut Trick To find the remainder when a number is divided by 9, calculate the sum of its digits. Sum of digits of 32622 = 3 + 2 + 6 + 2 + 2 = 15. Now, divide 15 by 9: 15 ÷ 9 → Remainder = 6. ∴ The correct answer is 6. Alternate Method Given: Number = 32622 Divisor = 9 Property Used: A number and the sum of its digits leave the same remainder when divided by 9. ⇒ Sum of digits = 3 + 2 + 6 + 2 + 2 ⇒ Sum = 15 ⇒ Dividing 15 by 9: ⇒ 15 = (9 × 1) + 6 ⇒ Final Remainder = 6 ∴ The correct answer is 6. Related Concepts: Divisibility Rule of 9 A number is completely divisible by 9 if the sum of its digits is a multiple of 9 (e.g., 9, 18, 27, etc.). Divisibility Rule of 3 Similar to 9, a number is divisible by 3 if the sum of its digits is divisible by 3. Concept of Digital Sum The single-digit sum obtained by repeatedly adding digits is the digital root, which represents the remainder when divided by 9 (if the sum is 9, the remainder is 0).