Long Division Calculator
Solve long division with full steps. Enter a dividend and divisor to get the quotient, remainder, and exact decimal, with each bring-down step shown.
Updated 2026-06-14 · Free · No sign-up · Runs privately in your browser
Show the long-division steps
How the Long Division Calculator Works
Long division breaks a division problem into a series of simple steps. This calculator takes a dividend (the number being divided) and a divisor, then returns the quotient, the remainder, and the exact decimal answer — with each bring-down step shown so you can follow the working.
The Method
Quotient = floor(dividend ÷ divisor) and Remainder = dividend − (quotient × divisor)
In long division you process the dividend one digit at a time from left to right. At each step you bring down the next digit, see how many whole times the divisor fits, record that in the quotient, and carry the leftover to the next digit.
Worked Example
Divide 1234 ÷ 7:
| Bring down | Current value | ÷ 7 | Quotient digit | Remainder |
|---|---|---|---|---|
| 1 | 1 | fits 0 | 0 | 1 |
| 2 | 12 | fits 1 | 1 | 5 |
| 3 | 53 | fits 7 | 7 | 4 |
| 4 | 44 | fits 6 | 6 | 2 |
Reading the quotient digits gives 176, with a final remainder of 2. As an exact decimal, 1234 ÷ 7 ≈ 176.2857.
Why Long Division Still Matters
Even with calculators everywhere, understanding long division builds number sense:
- Schoolwork — it is a core skill tested through primary and secondary math.
- Estimation — knowing the process helps you sanity-check answers.
- Remainders — many real problems (sharing items, scheduling, packing) need the whole-number quotient and remainder, not a decimal.
This tool gives you the answer instantly and the step-by-step breakdown so you can learn the method, not just the result.
Frequently asked questions
How does long division work?+
You divide digit by digit from left to right: bring down each digit of the dividend, see how many times the divisor fits, write that in the quotient, and carry the remainder to the next step.
What is the quotient and remainder?+
The quotient is the whole number of times the divisor fits into the dividend. The remainder is what is left over. For 1234 divided by 7, the quotient is 176 and the remainder is 2.
What is 1234 divided by 7?+
1234 divided by 7 is 176 remainder 2, which as an exact decimal is about 176.2857.
How do you write a remainder as a decimal?+
Divide the remainder by the divisor to continue past the decimal point. This calculator shows both the remainder form and the exact decimal value.
Can you do long division with a remainder of zero?+
Yes. When the divisor divides the dividend evenly, the remainder is 0 and the quotient is the exact answer, such as 24 divided by 6 equals 4 with no remainder.