# Long Division Calculator with Remainder

URL: https://speedycalculator.com/calculators/math/long-division/
Last updated: 2026-10-25

> The long division calculator divides one whole number by another and gives the quotient and remainder, plus the exact decimal answer. Use it to check homework or split items evenly.

## Inputs

- Dividend
- Divisor

## Results

- Quotient
- Remainder
- Decimal answer
- As a mixed number

## Formula

```
a = q × b + r,  0 ≤ r < b
```

## Explanation

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

FieldWhat to enterDividendA numberDivisorA 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]

## Worked example

Inputs — Dividend: 1,739; Divisor: 12.

Results — **Quotient = 144**; Remainder = 11; Decimal answer = 144.91666667; As a mixed number = 144 11/12.

## FAQ

**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.