Long Division Sheet

Long division clicks when children see the same steps again and again: divide, multiply, subtract, bring down. These printable sheets set out problems in the traditional bracket layout with room to work, in six levels from 2-digit dividends to 2-digit divisors — and every answer key shows the full working, not just the answer, so mistakes are easy to find.

What’s in the pack

Each level comes as a practice sheet in the traditional bracket layout plus an answer key that shows the complete working for every problem. The pack also includes a steps reference card and a squared long division practice page that keeps digits in their columns.

The four steps

1. Divide: how many times does the divisor go into the current number?
2. Multiply: the quotient digit times the divisor.
3. Subtract: take the product away from the current number.
4. Bring down: bring down the next digit and repeat.

A familiar memory aid is “Does McDonald’s Sell Burgers?” — Divide, Multiply, Subtract, Bring down. When there are no digits left, what remains after the last subtraction is the remainder.

Worked example: 952 ÷ 7

Seven goes into 9 once: write 1 above the 9, subtract 7 to leave 2, and bring down the 5 to make 25. Seven goes into 25 three times (21), leaving 4; bring down the 2 to make 42. Seven goes into 42 exactly six times, leaving 0. The answer is 136. Check: 136 × 7 = 952. The solver above draws this layout step by step for any problem you type in.

Zeros in the quotient

The most common long division mistake is forgetting a zero in the quotient. In 714 ÷ 7, seven goes into 7 once, leaving 0; bring down the 1 — seven goes into 1 zero times, so write 0 above the 1 before bringing down the 4 to make 14. The answer is 102, not 12. The 4-digit level includes plenty of problems like this, and the worked answer keys show the zero step explicitly.

Two-digit divisors

With divisors such as 23 or 47, estimating each quotient digit is the hard part. Round the divisor to the nearest ten (23 → 20) and ask how many 20s fit into the current number, then adjust up or down by one if the product is too large or the remainder is bigger than the divisor. A quick list of multiples of the divisor written in the margin also helps.

Tips for practice

• Use squared paper, or turn lined paper sideways, to keep digits in columns.
• Estimate first: 952 ÷ 7 should be a bit more than 100 (because 7 × 100 = 700).
• Always check with multiplication: quotient × divisor + remainder = dividend.
• Remainders must be smaller than the divisor — if not, the quotient digit is too small.
• Short daily sessions of four to six problems work better than long ones.

Remainders, fractions and decimals

A remainder can also be written as a fraction of the divisor — 25 ÷ 4 = 6 R1 = 6¼ — or the division can continue past the decimal point by adding zeros: 25 ÷ 4 = 6.25. The solver above can show either form. In word problems, the context decides: 25 children in cars of 4 need 7 cars, even though 25 ÷ 4 = 6 R1.

AI-assisted content

These worksheets were generated by script with AI-assisted writing and reviewed by Kedop. Every answer key is computed from the same numbers as the worksheet.