Long Division Calculator
125 divided by 4 is 31 with a remainder of 1, or 31.25 as a decimal. This long division calculator divides one number by another and shows the whole-number quotient, the remainder, and the full decimal answer. Enter the dividend (the number being divided) and the divisor (the number you divide by) to solve the division.
Quick answer
The dividend is the number being divided, and the divisor is the number you divide by.
What this tells you
- •The dividend is the number being divided, and the divisor is the number you divide by.
- •The quotient is the whole-number result, and the remainder is what is left over.
- •The decimal answer carries the division past the decimal point.
- •A remainder of 0 means the divisor goes in evenly.
How to Use
- 1Enter the dividend, the number you want to divide.
- 2Enter the divisor, the number you are dividing by.
- 3Click Calculate to get the quotient, the remainder, and the decimal result.
How It Works
Formula
dividend = divisor x quotient + remainderIn long division, the quotient is how many whole times the divisor fits into the dividend, and the remainder is what is left over. Multiplying the divisor by the quotient and adding the remainder returns the dividend. For 125 divided by 4, the divisor fits 31 times (124) with 1 left over, so the answer is 31 remainder 1, or 31.25 as a decimal.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
Divide 125 by 4
4 goes into 125 a total of 31 times, which is 124, leaving a remainder of 1. As a decimal, 125 divided by 4 is 31.25.
Divide 100 by 7
7 goes into 100 a total of 14 times, which is 98, leaving a remainder of 2. The decimal answer is about 14.285714.
Long Division Examples
Dividends and divisors with their quotient and remainder.
| Division | Quotient | Remainder | Decimal |
|---|---|---|---|
| 125 / 4 | 31 | 1 | 31.25 |
| 100 / 7 | 14 | 2 | 14.285714 |
| 144 / 12 | 12 | 0 | 12 |
| 3 / 5 | 0 | 3 | 0.6 |
Common mistakes
- Swapping the dividend and divisor. The dividend is the number being divided, so 125 / 4 is not the same as 4 / 125.
- Forgetting the remainder. When the division is not even, the leftover amount is the remainder, which the decimal answer turns into digits after the point.
- Dividing by zero. Division by zero is undefined, so the divisor must be a nonzero number.