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    Long Division Calculator

    Divide two integers and see the complete long-division working: each bring-down step for the whole-number part, the quotient and remainder, and the decimal expansion up to 12 places with repeating decimals detected.

    #long division#quotient#remainder#decimal expansion#division steps

    TheCalculators — Long Division Calculator

    Printed thecalculators.com

    Presets
    11,000

    Live mode: results update as you type.

    100 ÷ 7

    14 R 2

    Decimal ≈ 14.285714…

    Quotient (integer)
    14
    Remainder
    2
    Decimal expansion
    14.285714…
    Repeating?
    Yes — from decimal place 1
    Check: quotient × divisor + remainder
    100
    Sign
    Positive (same signs)

    Solution summary

    1. 1Divide the whole part100 ÷ 7 = 14 remainder 2
    2. 2Continue into decimalsAppend zeros to the remainder 2 and keep dividing (12 places shown below)
    3. 3Final answer100 ÷ 7 = 14.285714… (≈, or 14 R 2)

    Long-division working (integer part)

    StepBring down → currentQuotient digitdigit × divisorRemainder
    11001
    210173
    3304282

    Decimal expansion working

    Decimal placeRemainder × 10DigitNew remainder
    12 × 10 = 2026
    26 × 10 = 6084
    34 × 10 = 4055
    45 × 10 = 5071
    51 × 10 = 1013
    63 × 10 = 3042

    The remainder 2 reappeared — the decimal repeats from place 1.

    Most useful next

    100 ÷ 7

    14 R 2

    Formula

    dividend = divisor × quotient + remainder · decimal digits: remainder × 10 ÷ divisor

    Pro tips

    • • Check your answer with quotient × divisor + remainder = dividend.
    • • A remainder that repeats means the decimal repeats forever (e.g. 1/3 = 0.333…).
    • • Long division works digit by digit: divide, multiply, subtract, bring down.

    FAQ

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