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    Long Division: 1000 ÷ 13

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

    How to divide 1,000 by 13 using long division and find the remainder?

    Answer

    1,000 ÷ 13 = 76 remainder 12

    = 76.923076 ≈ 76.92

    Remainder 12 is less than the divisor 13. Check: 76 × 13 + 12 = 1,000.

    1,000 ÷ 13 in a column

    76
    131000
    −91
    90
    −78
    12

    In the column: quotient 76, remainder 12.

    Step by step: 1,000 ÷ 13

    1. Step 1100 ÷ 13 → 7: 7 × 13 = 91, 100 − 91 = 9; bring down 0 → 90
    2. Step 290 ÷ 13 → 6: 6 × 13 = 78, 90 − 78 = 12
    3. Quotient and remainder76 remainder 12

    After the point, add a zero to the remainder: 120 ÷ 13 → 9, remainder 3; 30 ÷ 13 → 2, remainder 4; 40 ÷ 13 → 3, remainder 1; 10 ÷ 13 → 0, remainder 10; 100 ÷ 13 → 7, remainder 9; 90 ÷ 13 → 6, remainder 12; remainder 12 again — the digits repeat.

    1,000 ÷ 13 = 76.923076 ≈ 76.92

    Similar examples to practise

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    Long Division 1000 ÷ 13 = 76, Remainder 12. Long division 1,000 ÷ 13 = 76 remainder 12. Online calculator with a step-by-step solution and a visual layout of the division.
    https://calculat.io/en/number/long-division/1000--13/generated.jpgCopy

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