What are quotient and remainder?

The quotient is the result of division (how many times the divisor fits into the dividend). The remainder is what's left over. For example, 17 ÷ 5 = 3 remainder 2, so quotient = 3, remainder = 2.

When do I use long division vs regular division?

Long division is useful for understanding the division process, dividing large numbers by hand, or when you need to see the step-by-step process. Regular division is faster for simple calculations.

How do I check if my long division is correct?

Multiply the quotient by the divisor and add the remainder. This should equal the original dividend. For example: if 17 ÷ 5 = 3 R 2, then 3 × 5 + 2 = 17 ✓

What if the remainder is larger than the divisor?

If the remainder is larger than or equal to the divisor, you haven't finished dividing. Continue the division process until the remainder is smaller than the divisor.

Long Division Calculator – Step by Step Division

Perform long division with detailed steps. Calculate quotient and remainder for any division problem with clear explanations.

Long Division Calculator – Step by Step Division

Perform long division with detailed steps. Calculate quotient and remainder for any division problem with clear explanations.

Dividend*

Number being divided

Divisor*

Number dividing into the dividend

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Math visualization will appear here

Understanding Long Division

Long division is a method for dividing large numbers by breaking the process into smaller, manageable steps. It systematically finds how many times the divisor fits into the dividend, producing a quotient and remainder.

Long Division Steps

The long division process:

Divide: How many times does the divisor fit into the first part of the dividend?
Multiply: Multiply the quotient digit by the divisor
Subtract: Subtract the result from the dividend portion
Bring down: Bring down the next digit of the dividend
Repeat: Continue until all digits are processed

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your dividend
Enter your divisor
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Long Division Calculator – Step by Step Division?

100% free and no registration required
Instant, accurate calculations with professional formulas
Mobile-friendly design that works on any device
Privacy-focused - your data never leaves your browser
Educational content to help you understand the results

Frequently Asked Questions

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