Long Division

The dividend is the number being divided, and the divisor is the number you divide by. In 364 divided by 30, the dividend is 364 and the divisor is 30. The whole-number answer you write above the line is called the quotient.

A remainder is the amount left over when the divisor does not divide the dividend exactly. After dividing 364 by 30, you reach a quotient of 12 with 4 left over, so the remainder is 4. You write it beside the quotient.

Multiply the quotient by the divisor, then add the remainder. If the total matches the original dividend, your answer is correct. For 364 divided by 30, that is 12 × 30 + 4, which gives 364, so the long division is right.

When the divisor does not fit into the current number, you write 0 in that place above the line and carry on. For example, 7 does not fit into 5, so you write 0, keeping every quotient digit in its correct column.

Long division repeats the same four actions in order: divide, multiply, subtract, then bring down the next digit. Once you have brought a digit down, you start the cycle again, repeating until there are no digits left to bring down.

Look at more digits of the dividend. Since 30 does not fit into the first digit 3, you use the first two digits, 36, instead. As 30 fits into 36 once, you write 1 above the line and carry on from there.