Long Division Calculator

Divide two numbers by long division step by step, with the quotient, remainder and decimal result.

Your details

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Result

Enter the dividend and divisor, then press “Divide”.

Long division steps

    Once calculated, the steps appear here.

    Each step: divide, multiply, subtract, bring down the next digit.

    Analysis and suggestions

    Once calculated, this shows what your result means and suggestions based on your numbers.

    Behind the result

    Divide two numbers by long division step by step, with the quotient, remainder and decimal result.

    Example · المقسوم = المقسوم عليه × ناتج القسمة + الباقي، والباقي أصغر من المقسوم عليه

    7 × 176 + 2 = 1,234

    How it is calculated

    Comprehensive Calculator Guide

    This calculator divides two numbers by long division step by step, as taught at school: divide, multiply, subtract, bring down. It gives the quotient, the remainder and the decimal result, including repeating decimals such as 176.(285714). 1234 ÷ 7 = 176 remainder 2.

    The steps

    Take enough digits from the left to cover the divisor, divide, multiply, subtract and bring down the next digit; repeat. Check: dividend = divisor × quotient + remainder. Continue past the point with zeros for decimals; a repeating remainder gives a repeating decimal.

    How to Use

    1. Enter the dividend.
    2. Enter the divisor.
    3. Press “Divide” to see the quotient, remainder, decimal and steps.

    Formula Used

    Dividend = divisor × quotient + remainder, remainder < divisor

    Practical Examples

    Example 1: 1234 ÷ 7
    176 r 2; 176.(285714).
    Example 2: 9876 ÷ 12
    823 exactly.
    Example 3: 100 ÷ 8
    12 r 4, or 12.5.

    Important Tips

    • Estimate first.
    • Write a zero when the part is too small.
    • Check by multiplying back.

    Common Mistakes to Avoid

    • Missing a zero in the quotient.
    • A remainder bigger than the divisor.
    • Bringing down two digits at once.

    Frequently Asked Questions

    What are the steps?
    Divide, multiply, subtract, bring down.
    How do I check?
    Divisor × quotient + remainder = dividend.
    What do brackets in the decimal mean?
    Those digits repeat forever.

    Read Also

    Results are estimates for educational purposes and may vary depending on your situation and data sources.