Division with remainder answers how many whole times b fits into a and what is left over.
How to use the Long Division Calculator with Remainder
- Dividend
- Divisor
Results update as you type, and every field accepts the units shown in its menu.
How it works
The quotient is the whole part of a ÷ b; the remainder is a minus quotient times b.
Inputs explained
| Field | What to enter |
|---|---|
| Dividend | A number |
| Divisor | A number |
What each result means
- Quotient = floor([Dividend] ÷ [Divisor])
- Remainder = [Dividend] – floor([Dividend]÷[Divisor])×[Divisor]
- Decimal answer = [Dividend] ÷ [Divisor]
- As a mixed number = [Dividend] ÷ [Divisor]
Formula
a = q × b + r, 0 ≤ r < bWorked example
Inputs — Dividend: 1,739; Divisor: 12.
Results — Quotient = 144; Remainder = 11; Decimal answer = 144.91666667; As a mixed number = 144 11/12.
Frequently asked questions
How do I write the answer?
1739 ÷ 12 = 144 R 11, or 144 11/12.
What if the remainder is 0?
The divisor divides the dividend exactly.
What formula does the Long Division Calculator with Remainder use?
a = q × b + r, 0 ≤ r < b.