SEAGReady
NumberP7 level22 questions in the full course

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

    Master single-digit quotient skills

  2. 2

    Two-Digit Quotient

    Master two-digit quotient skills

  3. 3

    With Remainders

    Master with remainders skills

Try these SEAG-style questions

Three free sample questions from our long division course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

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

  • A6 pencils
  • B60 pencils
  • C7 pencils
  • D84 pencils
Show answer and explanation

Answer: A. 6 pencils

Using long division: How many 12s in 72? 12 x 6 = 72 exactly Subtract: 72 - 72 = 0 (no remainder) Answer: 6 pencils

Stuck? Start here: Set up the long division with 72 inside and 12 outside the bus stop.

Question 2Confidence builder

A school collected 624 bottle caps. They put them into bags of 12. How many bags can they fill?

  • A52 bags
  • B612 bags
  • C25 bags
  • D636 bags
Show answer and explanation

Answer: A. 52 bags

Using long division: 12 into 6? No. Use 62. 12 x 5 = 60, remainder 2 Bring down 4 to get 24 24 / 12 = 2 Answer: 52 bags

Stuck? Start here: Set up long division: 624 inside, 12 outside.

Question 3Confidence builder

Sean has 100 sweets to put equally into bags of 24. How many full bags can he make, and how many sweets are left over?

  • A4 bags, 4 left over
  • B4 bags, 0 left over
  • C5 bags, 0 left over
  • D3 bags, 28 left over
Show answer and explanation

Answer: A. 4 bags, 4 left over

Using long division: 24 x 4 = 96 100 - 96 = 4 remainder Answer: 4 bags, 4 left over

Stuck? Start here: Set up 100 inside the bus stop with 24 outside.

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!

Watch out: 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

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.