Long Division Calculator
Perform long division with step-by-step solution.
Division Input
Number to be divided
Number to divide by
Step-by-Step Solution
Step 2:
12 ÷ 12 = 1
1 × 12 = 12
12 - 12 = 0
Step 4:
34 ÷ 12 = 2
2 × 12 = 24
34 - 24 = 10
Division Result
Quotient
102
Remainder
10
Decimal Result
102.8333333333
Calculation:
1234 ÷ 12 = 102 remainder 10
About This Calculator
The Long Division Calculator performs long division with step-by-step solutions. It shows the division process step by step, making it easy to understand how long division works. The calculator provides both the quotient (result) and remainder.
Long division is a method for dividing large numbers by hand. This calculator automates the process and shows each step, helping you learn the algorithm or verify your manual calculations.
Formula & Calculation Method
Long Division Algorithm:
Steps:
1. Divide the first digit(s) of the dividend by the divisor
2. Multiply the divisor by the quotient digit
3. Subtract from the current portion of the dividend
4. Bring down the next digit
5. Repeat until all digits are processed
Result:
Dividend ÷ Divisor = Quotient remainder Remainder
or Dividend ÷ Divisor = Decimal Result
Long division breaks down the division into smaller steps, processing one digit (or group of digits) at a time. The remainder is what's left after the division is complete.
How to Use This Calculator
- Enter Dividend: Input the number to be divided.
- Enter Divisor: Input the number to divide by (cannot be zero).
- View Results: See the quotient, remainder, and decimal result.
- Review Steps: Examine the step-by-step division process.
Frequently Asked Questions
What is long division?
Long division is a method for dividing large numbers by breaking the process into smaller, manageable steps. It shows how many times the divisor fits into the dividend and what remainder is left.
What is the difference between quotient and remainder?
The quotient is the whole number result of the division. The remainder is what's left over after dividing. For example, 17 ÷ 5 = 3 remainder 2, meaning 5 fits into 17 three times with 2 left over.
What happens when dividing by zero?
Division by zero is undefined in mathematics. The calculator will show an error if you try to divide by zero.
Can I divide negative numbers?
Yes, the calculator handles negative numbers. The quotient will be negative if the dividend and divisor have opposite signs, and positive if they have the same sign.
Calculator by
NumCalculators Editorial Team
Multi-disciplinary Expert Team