Long division by a two-digit number

In this exercise you practise long division where the divisor is always two digits. You estimate each quotient digit, multiply the divisor by it, subtract from the partial dividend, and bring down the next digit of the dividend. At the end you are left with a remainder smaller than the divisor.

What does the generator do?

The generator builds a two-digit divisor and a 2- to 4-digit dividend (depending on the chosen difficulty). Every quotient digit is non-zero so each step really uses the divisor. The example always has a non-zero remainder. The fields for each multiple of the divisor have exactly as many cells as the correct value, and the remainder field matches the size of the actual remainder.

How to use it

First decide how many leading digits of the dividend you take for the first step — it must be the smallest left-side chunk that is greater than or equal to the divisor. Divide it by the divisor and write the quotient digit after the equals sign. Multiply the divisor by that digit and write the result below the partial dividend. Subtract to get the difference, then bring down the next digit of the dividend to form the next partial dividend. Repeat until you have used all of the dividend digits. The last difference is the remainder.