NumberP7 level22 questions in the full course
Beyond the SEAG test. This is useful extension work, but your child doesn't need it for the transfer test. If time before the test is short, spend it on tested topics first.

Long DivisionSEAG Practice Questions

Dividing by a 2-digit number using long division: (1) estimate how many times divisor fits into first digits, (2) multiply divisor by estimate, (3) subtract from dividend, (4) bring down next digit, (5) repeat.

Where your child meets this in real life: Calculating averages, working out rates, or dividing large quantities into groups

What your child needs to know

SEAGReady breaks long division into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Single-Digit Quotient

    Divide a 2-digit number by a 2-digit divisor when the answer is a single digit, using multiples of the divisor (e.g., 84 ÷ 14 = 6)

  2. 2

    Two-Digit Quotient

    Divide a 3-digit number by a 2-digit divisor using long division, bringing down each digit in turn (e.g., 756 ÷ 12 = 63)

  3. 3

    With Remainders

    Divide by a 2-digit number when it does not go exactly, and explain what the remainder means in the problem (e.g., full bags and sweets left over)

Try these SEAG-style questions

Try three free questions from our long division course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.

Question 1Confidence builder

A school has 72 pencils to share equally among 12 pupils. How many pencils does each pupil get?

Answer choices for question 1
Question 2Standard

A visitor centre has 864 postcards to display equally in 16 stands. How many postcards go in each stand?

Answer choices for question 2
Question 3Stretch

A charity receives a donation of 1000 pounds. They want to buy footballs costing 23 pounds each. How many footballs can they buy, and how much money is left?

Answer choices for question 3

Try the lesson: Single-Digit Quotient

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

A school has 84 pencils to share equally among 14 pupils.

How many pencils does each pupil get?

84 ÷ 14

Set up the division
1

Write 84 inside the 'bus stop' and 14 outside

Step 1 of 4

Prefer to read? See every step written out

A school has 84 pencils to share equally among 14 pupils.

How many pencils does each pupil get?

  1. 1

    Set up the division

    • Write 84 inside the 'bus stop' and 14 outside
  2. 2

    Estimate and multiply

    • How many 14s fit into 84? Try 614 × 6 = 84
    • Write 6 above the 4
  3. 3

    Subtract to check

    • Subtract to find remainder84 − 84 = 0

Each pupil gets 6 pencils.

The key insight: Estimating is key: think 'how many 14s make roughly 84?' using times tables!

Common mix-up: Guessing 8 because 8 × 10 = 80. You must multiply by the full divisor (14), not just 10.

Mistakes to watch for

These are the misconceptions we see most often in long division, including the ones our practice questions are specifically designed to catch.

  • Difficulty estimating quotient digits when divisor is 2-digit
  • Errors in the subtraction steps
  • Forgetting to bring down the next digit

Build these skills first

Struggling with long division? The real gap is often in one of these earlier topics.

More number practice

Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.

22 questions on this topic alone

Master long division and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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