How to Teach Long Division (Without Tears)
Long division is where fourth-grade maths goes wrong for half the class. Teach it with the 'Dad Mother Sister Brother' mnemonic and chunking first.
Long division is the Everest of primary maths. The algorithm has four separate steps, each of which can go wrong, and getting them in the right order is the entire skill. Children who can multiply fluently still often stumble on long division because of the sheer procedural weight of it.
There are two viable approaches. The first is the traditional 'Divide, Multiply, Subtract, Bring down' algorithm, taught with the DMSB mnemonic (Dad, Mother, Sister, Brother, Rover for the remainder). The second is chunking, which is gentler and used in many UK schools. We recommend starting with chunking to build understanding, then moving to the traditional algorithm once the concept is solid.
The prerequisite is rock-solid times tables. A child who can't recall 7 × 8 instantly will never get comfortable with long division because they'll lose the thread on every problem. Get fluency first, then introduce the algorithm.
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Frequently Asked Questions
What age is long division taught?+
Year 5 or Year 6 in the UK (age 9 to 11). In the US, it's typically introduced in fourth grade and polished in fifth.
What's the DMSB mnemonic?+
Divide, Multiply, Subtract, Bring down — the four steps of traditional long division. The classroom version is 'Dad, Mother, Sister, Brother' to make it memorable.
What's chunking?+
A gentler division method where the child repeatedly subtracts multiples of the divisor. 72 ÷ 6 becomes 72 − 60 (ten sixes) − 12 (two sixes) = twelve sixes. It builds understanding before the algorithm.
Why do kids fail at long division?+
Three reasons: weak times tables, losing their place in the algorithm, and making arithmetic errors mid-problem. Fix each separately rather than just doing more practice problems.