Long division · Grade 5

In Grade 5 you learn: dividing by a 1-digit number with remainders and dividing up to 4-digit numbers by 2-digit numbers.

Long division is a written method for dividing by a two-digit number. It works one digit at a time like short division, but writes out each multiplication and subtraction so the remainders are easy to track. Writing a list of multiples first makes it much easier.

Key facts

• Write some multiples of the divisor first (1×, 2×, 5×, 10× …).
• Each step: divide, multiply, subtract, bring down the next digit.
• A remainder must always be smaller than the number you divide by.
• In context, decide whether to round up, round down or give an exact answer.

Worked examples

Other years

• Long division · Grade 6