Vedic Maths — Veda Topper
Divide by 9 Instantly — Just Add the Digits
Dividing by 9 turns into simple addition. You carry each digit forward and add — no long division at all. It is one of the most satisfying beginner tricks in Vedic Maths.
Learn all of this live. Veda Topper runs online Vedic Maths classes for kids and adults, worldwide. Book a free demo class → · WhatsApp us →
The rule (2-digit ÷ 9)
The quotient is the first digit; the remainder is the sum of the digits.
Example 1 — 23 ÷ 9
Quotient = 2
Remainder = 2 + 3 = 5
23 ÷ 9 = 2 remainder 5
Example 2 — 61 ÷ 9
Quotient = 6
Remainder = 6 + 1 = 7
61 ÷ 9 = 6 remainder 7
Longer numbers
Bring the first digit down as the start of the quotient, then add it to the next digit for the next quotient digit, and so on. The final sum is the remainder.
Example 3 — 132 ÷ 9
Bring down 1 → quotient starts 1
1 + 3 = 4 → next quotient digit 4
Remainder = 4 + 2 = 6
132 ÷ 9 = 14 remainder 6
Example 4 — 2301 ÷ 9
2 → 2
2 + 3 = 5
5 + 0 = 5
Remainder = 5 + 1 = 6
2301 ÷ 9 = 255 remainder 6
Tip: if a remainder comes out as 9 or more, carry the extra ten into the quotient — the same idea, one small adjustment.
Why it works
Because 10 = 9 + 1, every time you move one place left you keep one "9" (which the quotient absorbs) and pass on a "+1" — which is exactly the running-addition you are doing.
Practice (answers below):
1) 34 ÷ 9 2) 52 ÷ 9 3) 71 ÷ 9 4) 221 ÷ 9 5) 1203 ÷ 9
Answers: 1) 3 r7 2) 5 r7 3) 7 r8 4) 24 r5 5) 133 r6
1) 34 ÷ 9 2) 52 ÷ 9 3) 71 ÷ 9 4) 221 ÷ 9 5) 1203 ÷ 9
Answers: 1) 3 r7 2) 5 r7 3) 7 r8 4) 24 r5 5) 133 r6
More Vedic Maths tricks
← Vedic Maths home Multiply by 11 in one lineSquare numbers ending in 5Base multiplication (Nikhilam)Vertically & crosswiseSquares near a base (Yavadunam)Subtraction: all from 9All 16 Sutras & 13 sub-sutras
Frequently asked questions
How do you divide by 9 in Vedic Maths?
For a 2-digit number, the first digit is the quotient and the sum of the digits is the remainder. For longer numbers, carry each digit forward and add. 132 ÷ 9 = 14 remainder 6.
What if the remainder is 9 or more?
Carry the extra ten into the quotient and keep the leftover as the remainder — a small adjustment to the same method.
Why does adding the digits work for dividing by 9?
Because 10 is one more than 9, each place value leaves a remainder of 1, so the digit-sum gives the remainder and the running totals give the quotient.
Learn all of this live. Veda Topper runs online Vedic Maths classes for kids and adults, worldwide. Book a free demo class → · WhatsApp us →