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    home / math / long division calculator

    Long Division Calculator

    The Long Division Calculator divides whole numbers step by step and shows the quotient and remainder.

    ▼Modify the values and click the Calculate button to use

    Results

    100 ÷ 7 = 14 R 2

    Quotient14
    Remainder2
    Decimal result14.2857142857
    Check7 × 14 + 2 = 100

    Calculation steps:

    Bring down 1: 11 ÷ 7 = 0, 0 × 7 = 0, remainder 1
    Bring down 0: 1010 ÷ 7 = 1, 1 × 7 = 7, remainder 3
    Bring down 0: 3030 ÷ 7 = 4, 4 × 7 = 28, remainder 2

    Long division

    Long division breaks a large division into a series of easy steps. Work from the leftmost digit of the dividend: divide, multiply, subtract, bring down the next digit, and repeat.

    Worked example

    100 ÷ 7: 1 ÷ 7 = 0; bring down 0 to make 10, 10 ÷ 7 = 1 remainder 3; bring down 0 to make 30, 30 ÷ 7 = 4 remainder 2. The answer is 14 remainder 2, or 14.2857…

    Checking the answer

    Divisor × quotient + remainder = dividend: 7 × 14 + 2 = 100. The remainder must always be smaller than the divisor.

    Frequently asked questions

    What is the dividend? The number being divided.

    How do I get decimals? Add zeros after a decimal point and keep dividing.

    What is short division? The same method done mentally for single-digit divisors.

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