Long Division Calculator · Practical guide
How to Do Long Division With Decimals
The trick is one decimal shift: turn the divisor into a whole number first, then divide normally.
At a glance
The Core Trick
To divide with decimals, multiply both numbers by 10 until they are whole, then do ordinary long division. For example, 12.5 / 4 = 3.125: scale 12.5 up to 125 and 4 up to 40, and 125 / 40 gives the same 3.125. This calculator does the scaling internally — enter decimal dividends or divisors directly and the step table shows the scaled integer work.
Interactive tool
Long Division Calculator
Enter your own values, then compare the result with the examples below.
Division Result
Step-by-Step Work
| Step | Digit | Partial Dividend | Quotient Digit | Multiply | Subtract | Remainder |
|---|
Worked Examples
| Problem | Scaled To | Decimal Result |
|---|---|---|
| 12.5 / 4 | 125 / 40 | 3.125 |
| 7.5 / 2.5 | 75 / 25 | 3 |
| 22.5 / 6 | 225 / 60 | 3.75 |
| 1.25 / 0.5 | 125 / 50 | 2.5 |
Checking a Decimal Answer
Multiply the result by the divisor — you should land back on the dividend. For 22.5 / 6 = 3.75: 3.75 x 6 = 22.5. The quotient-and-remainder view works too: 22.5 / 6 is 3 remainder 4.5, and 6 x 3 + 4.5 = 22.5.
Common Decimal Mistakes
- Scaling only one number. You must multiply both the dividend and the divisor by the same power of 10, or the answer changes.
- Misplacing the point in the quotient. After scaling, the decimal places cancel — 125 / 40 needs no point adjustment at all.
- Stopping at the remainder. A remainder of 3 in 12.5 / 4 (quotient 3, remainder 0.5) still represents the fraction 0.125 of the divisor, giving 3.125.
Frequently Asked Questions
Does the calculator accept decimal inputs?
Yes. It scales decimal dividends and divisors into integers internally, then shows the correct decimal result to six places.
Can the divisor be a decimal?
Yes. For example, 1.25 / 0.5 scales to 125 / 50 and equals 2.5.
What is 10 divided by 3 as a decimal?
10 / 3 = 3.333333, a repeating decimal. The calculator shows it rounded to six decimal places.
Why do I multiply both numbers by 10?
Multiplying the dividend and divisor by the same amount leaves the ratio unchanged, so the division answer stays identical while the numbers become easier to work with.