Vedic Mathematics/Sutras/Paraavartya Yojayet

Paravartya Yojayet

This one means "transpose and apply," and it's your secret weapon for division when the divisor is just a bit more than a power of 10.

Step-by-Step Example: Let's divide 1225 by 12:

1. Write 12 (divisor) and -2 below it.
2. Write 1225 (dividend) to the right, leaving 5 as remainder.
3. Divide 1 by 1, write the result below. Multiply by -2 and subtract from the second digit.
4. Keep going for the rest.

You'll end up with 102 and a remainder of 1.

So, 1225 ÷ 12 = 102 with a remainder of 1.

This method turns long division from a chore into a breeze.