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Long Division Calculator

Step-by-step long division with remainders

Long Division Calculator

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Long division is a step-by-step method for dividing large numbers by hand. It breaks the division into a sequence of smaller operations — divide, multiply, subtract, bring down — repeated until the calculation is complete. The result is a quotient and (optionally) a remainder.

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Tip: Estimate the quotient digit first: if dividing 487 by 32, ask "how many times does 32 fit into 48?" — approximately 1. Then check by multiplying.

Fun Fact

Long division was popularized in Europe in the 15th century by Fibonacci's Liber Abaci. Before it, division was done with more complex methods using lattices or counting boards.

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