long division
Long division is the process of dividing large numbers without using a calculator.
It’s similar to short division, but rather than writing the remainder on the top it is written below the sum.
Let’s divide 8855 by 24:
Every digit must be divided by 24, starting on the left-hand side. Any remainder will join the next digit to create a new number to be divided.
Here are the steps:
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8 (thousands) ÷ 24 = 0 remainder 8 (thousand)
88 (hundreds) ÷ 24 = 3 remainder 16 (hundred)
165 (tens) ÷ 24 = 6 remainder 21 (ten)
215 (units) ÷ 24 = 8 remainder 23 (unit)
Therefore, the answer is 3 (hundred), 6 (ten) and 8 (unit) with remainder 23. This is written as 368 remainder 23.
The traditional method of calculating a long division sum is shown opposite.
Another method of calculating this type of sum is repreated subtraction.