Long Division Calculator
Perform long division with step-by-step visual work shown
How to Use This Calculator
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The Long Division Calculator shows you the complete process of dividing one number by another, just like you would do it by hand. Enter the dividend (the number being divided) and the divisor (the number you're dividing by), and see each step of the process.
Understanding Long Division
Long division follows these steps:
- Divide: How many times does the divisor go into the first digit(s)?
- Multiply: Multiply the divisor by that number
- Subtract: Subtract the result from the current number
- Bring down: Bring down the next digit
- Repeat: Continue until all digits are used
Example Problems
Simple Division:
156 ÷ 12 = 13 (no remainder)
Perfect division example
With Remainder:
157 ÷ 12 = 13 R1
Result has a remainder
Sharing Items:
If you have 245 cookies to share among 15 friends
245 ÷ 15 = 16 R5 (16 cookies each, 5 left over)
Money Division:
Splitting $500 among 4 people
500 ÷ 4 = 125 (exactly $125 each)
Real-World Applications
- Sharing items equally among people
- Calculating how many groups can be formed
- Dividing money or resources
- Finding rates (e.g., miles per gallon)
- Converting units of measurement
- Solving word problems in homework
Frequently Asked Questions
What is long division?
Long division is a method for dividing large numbers by breaking the process into smaller steps. It shows the complete work, making it easier to understand and verify calculations.
What is a 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 R2 (quotient is 3, remainder is 2).
How do I know if my long division is correct?
To check: multiply the quotient by the divisor, then add the remainder. The result should equal the dividend. For example, if 17 ÷ 5 = 3 R2, then (3 × 5) + 2 = 15 + 2 = 17 ✓
Can I divide decimals with this calculator?
This calculator is designed for whole number (integer) division, which is what's typically taught in long division lessons. The calculator shows both the quotient with remainder and the decimal equivalent.
What if the divisor is larger than the dividend?
If the divisor is larger than the dividend, the quotient is 0 and the remainder equals the dividend. For example, 5 ÷ 12 = 0 R5.
Why can't I divide by zero?
Division by zero is undefined in mathematics. You cannot divide any number by zero because there's no number that, when multiplied by zero, gives you the original number.
Why use a long division calculator?
A long division calculator helps you check your work, understand the step-by-step process, and learn the long division algorithm. It's perfect for homework help, teaching, and verifying complex calculations.
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Educational Disclaimer
This calculator is provided for educational purposes and homework assistance. While we strive for accuracy, please verify critical calculations independently. Results should not be used as the sole basis for important financial, academic, or professional decisions. Always check your work and consult with appropriate professionals when needed.