Long Division

The long division loop: divide, multiply back, subtract, bring down

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About This Practice

Why does long division look so complicated? Because it repeats one small loop: see how many times the divisor fits, multiply back, subtract, then bring down the next digit to build a new number — and start again. Every tap of "Next" walks half a step, so quotients, products, remainders and brought-down digits all stop being a pile of mystery numbers.

Walk through long division one tap at a time: divide, multiply, subtract and bring down, with the digit you are working on highlighted at every step.

MediumEstimated Time: 15minlong divisiondivision stepsquotientbring down

How to Play

  1. Read the problem: how many digits does the dividend have? What is the divisor?
  2. Tap Next: how many times does the highlighted number fit?
  3. Watch the quotient multiply back, then subtract — what is left?
  4. Keep tapping to see the next digit brought down into a new number.
  5. Reach the ones place, read the full quotient (and remainder), then try a new one.

Learning Objectives

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