Long Division Calculator
Perform long division with step-by-step solution showing quotient, remainder, and work.
A long division calculator shows the complete step-by-step process of dividing one number by another, including quotient, remainder, and decimal result.
Examples
Simple division
With remainder
Exact division
Frequently Asked Questions
What is long division?
How do I verify the result?
What if there is a remainder?
Quick Tips
- •Double-check your inputs — small errors lead to incorrect results.
- •Verify results by multiplying the quotient by the divisor and adding the remainder.
- •Use decimal form for fractions when entering values.
A long division calculator shows the complete step-by-step process of dividing one number by another, including quotient, remainder, and decimal result.
How to Use This Calculator
Enter the dividend (number to divide) and the divisor. The calculator will show the complete long division process step by step, including quotient, remainder, and decimal result.
Understanding the Formula
Dividend = Divisor × Quotient + Remainder. The process: bring down one digit at a time, divide, multiply, subtract, repeat.
Examples
Simple division
156 ÷ 12: bring down 1 (0), bring down 5 (15÷12=1 r3), bring down 6 (36÷12=3 r0). Answer: 13
With remainder
1234 ÷ 56 = 22 remainder 2. Check: 56 × 22 + 2 = 1234
Exact division
144 ÷ 12 = 12 remainder 0. Clean division.
Frequently Asked Questions
What is long division?
Long division is a step-by-step method of dividing large numbers. You work through the dividend digit by digit: divide, multiply, subtract, bring down the next digit, and repeat.
How do I verify the result?
Multiply the quotient by the divisor and add the remainder. If it equals the dividend, the result is correct: Dividend = Divisor × Quotient + Remainder.
What if there is a remainder?
A remainder means the dividend is not evenly divisible. You can express the answer as a mixed number (quotient remainder/divisor) or as a decimal.
Assumptions & Limitations
- Assumes the divisor is not zero.
- Assumes exact input values; rounding in inputs propagates to results.
- Results may show floating-point approximations for irrational numbers.