Paravartya division (11, 12, 112…) — Vedic maths trick

The trick

Paravartya Yojayet — “transpose and apply”

1. Write the extra over the base with minus signs: 12 → −2, 112 → −1 −2, 103 → 0 −3.
2. Split off the last 1 (for 11–13) or 2 (for 102–121) digits as the remainder part.
3. Bring down each column total, multiply by the transposed digits and add under the next columns.
4. If the remainder is negative, take 1 from the quotient and add the divisor; if it is too big, divide it again.

Use it for: Dividing by 11, 12, 13, 102, 103, 111, 112, 121.

Worked example: 1467 ÷ 12 = 122 remainder 3

✏️ Practice

Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.

🏁 Trick 28 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🔁 Transpose Master badge when you pass — and a certificate when you finish all 10 tricks of Part 3 · Expert tricks. You can still take the test without signing in.

🖨️ Paravartya Division Worksheet

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)