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    Long Division: 1000 ÷ 14

    Long Division Calculator
    Dividend (number to be divided)
    Divisor (number to divide by)

    How to divide 1,000 by 14 using long division and find the remainder?

    Answer

    1,000 ÷ 14 = 71 remainder 6

    = 71.428571 ≈ 71.43

    Remainder 6 is less than the divisor 14. Check: 71 × 14 + 6 = 1,000.

    1,000 ÷ 14 in a column

    71
    141000
    −98
    20
    −14
    6

    In the column: quotient 71, remainder 6.

    Step by step: 1,000 ÷ 14

    1. Step 1100 ÷ 14 → 7: 7 × 14 = 98, 100 − 98 = 2; bring down 0 → 20
    2. Step 220 ÷ 14 → 1: 1 × 14 = 14, 20 − 14 = 6
    3. Quotient and remainder71 remainder 6

    After the point, add a zero to the remainder: 60 ÷ 14 → 4, remainder 4; 40 ÷ 14 → 2, remainder 12; 120 ÷ 14 → 8, remainder 8; 80 ÷ 14 → 5, remainder 10; 100 ÷ 14 → 7, remainder 2; 20 ÷ 14 → 1, remainder 6; remainder 6 again — the digits repeat.

    1,000 ÷ 14 = 71.428571 ≈ 71.43

    Similar examples to practise

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    Long Division 1000 ÷ 14 = 71, Remainder 6. Long division 1,000 ÷ 14 = 71 remainder 6. Online calculator with a step-by-step solution and a visual layout of the division.
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    Long Division Table