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Long Division Calculator

Enter a dividend and divisor to instantly find the quotient, remainder, and full decimal division result.

โž—Long Division Calculator
Quotient (whole number)โ€”
Remainderโ€”
Decimal Resultโ€”
Verificationโ€”

What is a Long Division Calculator?

This tool divides one number (the dividend) by another (the divisor) and shows the quotient and remainder, helping you check homework, verify manual long division, or quickly divide large numbers that are impractical to divide by hand.

Long division is the step-by-step method for dividing larger numbers by hand, breaking the problem into a series of simpler multiplication and subtraction steps, one digit at a time.

How It Works

The calculator divides the dividend by the divisor, producing a whole-number quotient and, if the numbers don't divide evenly, a remainder. For example, 47 รท 5 gives a quotient of 9 with a remainder of 2, since 5 ร— 9 = 45 and 47 โˆ’ 45 = 2.

How to Use This Tool

Enter the dividend (the number being divided) and the divisor (the number you're dividing by), then click Calculate to see the quotient and remainder instantly.

Examples

Example 1: 100 รท 7 = quotient 14, remainder 2 (since 7 ร— 14 = 98).

Example 2: 144 รท 12 = quotient 12, remainder 0 (divides evenly).

Frequently Asked Questions

What is a remainder? The remainder is what's left over after dividing as many whole times as possible โ€” it will always be smaller than the divisor.

Can I divide by zero? No, division by zero is mathematically undefined, so the calculator will not return a result for a zero divisor.

How is this different from decimal division? Long division with a remainder stops at the whole-number quotient. Decimal division continues past the remainder to give a fractional or decimal answer instead.

Why do students learn long division by hand? It builds an understanding of place value, multiplication, and subtraction working together, which is foundational for more advanced math.

Does this work with negative numbers? Yes, standard division rules apply โ€” a negative dividend or divisor will produce a negative quotient.