Long Division Calculator
Long division is the traditional method of dividing large numbers by hand. This calculator shows the quotient, remainder, and decimal result of a division operation. Long division breaks complex division into smaller steps, making it easier to understand the process. Enter a dividend (the number being divided) and a divisor (the number to divide by), and the calculator shows how many times the divisor goes into the dividend and what remains. This method is fundamental to understanding division and is still taught in schools to develop mathematical literacy.
Long division formula
Dividend / Divisor = Quotient + (Remainder / Divisor)
Decimal result = Quotient + (Remainder / Divisor)
Example: 456 / 12 = 38 (no remainder)
Example: 17 / 5 = 3 remainder 2 = 3.4 decimal
Long division examples
| Dividend | Divisor | Quotient | Remainder | Decimal |
|---|---|---|---|---|
| 456 | 12 | 38 | 0 | 38.00 |
| 100 | 3 | 33 | 1 | 33.33 |
| 17 | 5 | 3 | 2 | 3.40 |
| 99 | 9 | 11 | 0 | 11.00 |
Long division calculator: frequently asked questions
What is long division?
Long division is a method of dividing large numbers manually by breaking the division into smaller, manageable steps. It shows the quotient, remainder, and the process step by step.
What are the steps in long division?
The steps are: divide the first digit of the dividend by the divisor, multiply the quotient by the divisor, subtract to find the remainder, bring down the next digit, and repeat until all digits are brought down.
What is the difference between quotient and remainder?
The quotient is the result of division (how many times the divisor goes into the dividend). The remainder is what is left over. For 17 divided by 5: quotient is 3, remainder is 2.
How do you convert the result to a decimal?
To get the decimal result, divide the remainder by the divisor and add it to the quotient. For 17 / 5 = 3.4 (3 + 2/5 = 3 + 0.4).
Can I use long division for decimals?
Yes, long division works with decimal dividends and divisors. The process is the same, but you handle the decimal point carefully, placing it in the quotient at the appropriate position.
Official sources
- Division algorithm: NIST Special Publication 330.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.