Long division looks scary because it stacks lots of tiny decisions on top of each other. But the method is not magic - it is just repeated multiplication and subtraction, organised so you always know what to do next. This guide is written for parents supporting KS2, and it covers the most common cases: dividing by a 1-digit number, dividing by a 2-digit number, dealing with remainders, and extending the method to decimals.
The Core Idea (In One Sentence)
Long division is: divide, multiply, subtract, bring down- repeat until you cannot bring anything down.
If your child forgets the steps, give them a short chant: D-M-S-B (divide, multiply, subtract, bring down). Keeping the routine stable reduces stress, which is half the battle.
Before You Start: Place Value And Alignment
Most long division mistakes are not "maths" mistakes - they are layout mistakes. Use squared paper if possible. The dividend (the number being divided) goes inside the bracket. The divisor goes outside. The quotient (answer) is written on top.
A quick check: when you multiply the divisor by the first digit of the quotient, the product should sit under the correct digits in the dividend. If alignment drifts, the whole question drifts.
Practise long division interactively here (untimed is best at first):
Mindsharp long division practice (step-by-step)
Dividing By A 1-Digit Number
Example: 972 / 3. Start from the left. Ask: "How many threes in 9?" That is 3. Write 3 on top. Multiply: 3 * 3 = 9. Subtract: 9 - 9 = 0. Bring down the next digit (7). Then repeat.
The important habit is writing the multiplication and subtraction clearly each time. Children sometimes try to do steps in their head and lose track.
Practice link:
Long division practice (1-digit divisors)
Dividing By A 2-Digit Number (How To Choose The First Digit)
This is where most children wobble. The method is the same, but choosing the first quotient digit requires estimation.
Example: 4369 / 12. Start with the smallest chunk from the left that is at least 12. 4 is too small, 43 works. Now estimate: 12 * 3 = 36 and 12 * 4 = 48 (too big). So the first digit is 3.
Teach this as a quick choice between two digits, not as a guessing game. Pick a digit, multiply, and check if it is too large. If it is too large, reduce the digit by 1.
A reliable estimation trick: round 12 to 10 to get a rough idea, then check with 12 properly.
Practice link:
Long division practice (2-digit divisors)
What To Do With Remainders
In KS2, remainders can be written in different ways depending on the question.
1) Write The Remainder (r)
If the question expects a remainder, write it as "r". Example: 29 / 4 = 7 r 1.
2) Convert To A Fraction
Sometimes the answer should be a fraction. The remainder becomes the numerator and the divisor becomes the denominator. Example: 29 / 4 = 7 and .
3) Round (If Asked)
If the question is about people/buses/items, you often round up. Example: 29 cakes shared between 4 boxes needs 8 boxes, not 7. Teach children to read for clues like "how many packs" or "how many trips".
Practice link (includes remainder questions):
Long division practice with remainders
Extending Long Division To Decimals
The extension to decimals is simple if the place value idea is clear. When you run out of digits to bring down, you can add a decimal point and bring down zeros.
The key rule is: place the decimal point in the quotient directly above the decimal point in the dividend. If the dividend is a whole number, the decimal point goes at the end.
Example idea: 3 / 8 = 0.375. You cannot do 3 / 8 as a whole number, so you write 0 then a decimal point, then bring down zeros: 30 / 8, then 60 / 8, then 40 / 8.
If your child loses where the decimal point goes, slow down and write the place value columns (ones, tenths, hundredths) above the quotient as a guide.
Practice link (decimals mode):
Long division practice (including decimals)
Common Mistakes (And What To Say)
- Digit too big: "Multiply and check. If it's too big, drop down one."
- Forgetting to bring down: "After subtracting, we must bring down the next digit before dividing again."
- Messy columns: "Use squared paper and keep the product under the correct digits."
- Remainder confusion: "What does the question want: r, a fraction, or rounding?"
A Simple Weekly Plan
Keep practice short. Ten minutes a day is plenty. A helpful sequence is: 1-digit divisors * 2-digit divisors * remainders * decimals. Mixing everything too early makes children feel like the method keeps changing.
Start here and repeat it until it feels easy:
Mindsharp long division practice quiz