Dividing a 2- or 3-digit number by 75

1. Select a 2-digit number. (Choose larger numbers when you feel sure about the method.)
2. Multiply by 4 (or by 2 twice).
3. Move the decimal point two places to the left.
4. Divide by 3 (express remainder as a fraction).

   Example:

1. The 2-digit number chosen to divide by 75 is 82.
2. Multiply by 4: 4 x 82 = 328.
3. Move the decimal point 2 places to the left: 3.28
4. Divide by 3: 3.28/3 = 1.09 1/3
5. So 82 divided by 75 = 1.09 1/3.

   See the pattern?

1. The 3-digit number chosen to divide by 75 is 631.
2. Multiply by 4 (multiply left to right):
   4 x 631 = 2400 + 120 + 4 = 2520 + 4 = 2524.
   
3. Move the decimal point 2 places to the left: 25.24.
4. Divide by 3: 25.24/3 = 8.41 1/3
5. So 631 divided by 75 = 8.41 1/3.

Practice multiplying left to right so you can do it mentally. You will be able to divide numbers by 75 quickly and accurately.