Long Division Calculator
Enter whole numbers to divide. You will get the quotient, remainder, and each long-division step.
How to use this long division calculator with steps
This tool is built for fast, clear long division. Type your dividend, divisor, and optional decimal precision, then click Calculate. The calculator shows the final quotient and also breaks down each step so you can follow the same process by hand.
- Dividend: the number inside the division bracket.
- Divisor: the number outside the bracket.
- Quotient: the answer on top.
- Remainder: what is left after subtraction steps.
What the step-by-step table means
Every row in the table matches one long-division move. The calculator first brings down a digit, then decides the quotient digit, multiplies that digit by the divisor, and subtracts to get a new remainder.
Columns explained
- Phase: integer part or decimal extension.
- Partial Dividend: current value being divided at that step.
- Quotient Digit: next digit written in the quotient.
- Subtract: divisor × quotient digit.
- Remainder: leftover after subtraction.
Worked examples
Example 1: 78945 ÷ 4
The integer quotient is 19736 with remainder 1. If you request decimals, the calculator continues by bringing down zeros after the decimal point.
Example 2: 7 ÷ 12 with 6 decimal places
The quotient starts as 0 because 12 is larger than 7. Then decimal steps continue: 70 ÷ 12 = 5 remainder 10, 100 ÷ 12 = 8 remainder 4, and so on. You get 0.583333 to 6 places.
Why this is useful for learning
Many calculators only give the final answer. A long division calculator with steps is better for students, parents, and tutors because it exposes the full reasoning process. You can quickly check classwork, find the first mistake, and reinforce number sense.
Common long division mistakes
- Forgetting to write a zero in the quotient when the divisor does not fit.
- Subtracting incorrectly after multiplying by the quotient digit.
- Bringing down the wrong next digit.
- Stopping early when a remainder still exists.
- Mixing integer remainder form and decimal form without clarity.
Tips for best results
- Use whole numbers for dividend and divisor in this calculator.
- Set decimal places to 0 if you only want quotient + remainder.
- Increase decimal places when you need a more precise decimal answer.
- Try both positive and negative values to understand sign rules.
FAQ
Does it show remainder?
Yes. With 0 decimal places, you get the classic integer remainder. With decimal places, it also shows unresolved remainder as a fraction.
Can I divide by zero?
No. Division by zero is undefined, and the calculator will show an error message.
Can I use commas in large numbers?
Yes. Inputs like 1,234,567 are accepted.