Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Long Division by Two-digit Divisors

Learn to divide by two-digit numbers using estimation, the multiply-subtract-bring-down cycle, and checking by multiplying back. Work through examples together, then practise on the board.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedThe club needs to bring 728 supporters to the county final, and every minibus in the fleet seats 14 people. Roughly how many minibuses do we need? Before we work it out exactly, just give me your best rough guess.

    2 - Watch and Notice ~9 mins

    We work three long divisions, one at a time. Watch how we estimate each digit first, then check by multiplying. Notice what happens when an estimate turns out too high.

    3 - Try It Together ~11 mins

    Now we work these together on the board by hand: first 672 ÷ 16, then 837 ÷ 27, then 1104 ÷ 23. For each one we do the full long division on the board — estimate first, then multiply, subtract and bring down — to get the quotient (your answer). Say the estimate aloud before we commit to a digit. The interactive on screen is only our check: once we have the quotient, we multiply it by the divisor to make sure we land back on the starting number.

    Check the division

    4 - Work It in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, work this long-division calculation in full, showing the multiply-and-subtract at each step. When you finish, check your answer by multiplying the quotient by the divisor.

    • 884 ÷ 17

    5 - Class Challenge ~8 mins

    Today we work through these together on the board: 864 ÷ 24, then 1265 ÷ 23, and finally the stretch, 1794 ÷ 39, which divides exactly with nothing left over. Each one gets a step trickier, so estimate first, then build the quotient on the board and check it by multiplying back. We do the dividing by hand first — the tool is only there to confirm each answer.

    Reach the number

    Pupil practice
    Module 2 · Operations and Computational Fluency Number
    Lesson 20 · Long Division by Two-digit Divisors
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