Long Division Calculator
Step-by-step long division with detailed explanation
Long Division Calculator
Long Division: How It Works
Divide, multiply, subtract, bring down the next digit — repeat until the digits run out; what is left is the remainder, always smaller than the divisor.
Example: 29,224 ÷ 4
29,224 ÷ 4 in a column
| 7 | 3 | 0 | 6 | |||
| 4 | 2 | 9 | 2 | 2 | 4 | |
| − | 2 | 8 | ||||
| 1 | 2 | |||||
| − | 1 | 2 | ||||
| 2 | 4 | |||||
| − | 2 | 4 | ||||
| 0 |
In the column: quotient 7,306, remainder 0.
- Step 129 ÷ 4 → 7: 7 × 4 = 28, 29 − 28 = 1; bring down 2 → 12
- Step 212 ÷ 4 → 3: 3 × 4 = 12, 12 − 12 = 0; bring down 2 → 2
- Step 32 < 4 → 0; bring down 4 → 24
- Step 424 ÷ 4 → 6: 6 × 4 = 24, 24 − 24 = 0
- Quotient7,306
| Division | Quotient | Decimal |
|---|---|---|
| 100,000 ÷ 12 | 8,333 remainder 4 | = 8,333.3 ≈ 8,333.33 |
| 10,000 ÷ 12 | 833 remainder 4 | = 833.3 ≈ 833.33 |
| 1,000 ÷ 60 | 16 remainder 40 | = 16.6 ≈ 16.67 |
| 64 ÷ 4 | 16 | = 16 |
| 100 ÷ 5 | 20 | = 20 |
| 100 ÷ 12 | 8 remainder 4 | = 8.3 ≈ 8.33 |
| 48 ÷ 6 | 8 | = 8 |
| 180 ÷ 3 | 60 | = 60 |
| 80 ÷ 9 | 8 remainder 8 | = 8.8 ≈ 8.89 |
| 345 ÷ 5 | 69 | = 69 |
| 16,452 ÷ 36 | 457 | = 457 |
| 1,000,000 ÷ 12 | 83,333 remainder 4 | = 83,333.3 ≈ 83,333.33 |
Decimals: both numbers are multiplied by 10, 100, … until they are whole — 100 ÷ 1.2 becomes 1,000 ÷ 12 = 83 remainder 4 — and the remainder is divided back: 4 ÷ 10 = 0.4.
See Also
- Number Facts & Properties - All information about a specific number (spelling, factors, prime check, binary, hexadecimal, QR Code, Barcode and more)
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Percentage Calculator: Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 23,000 ÷ 4 | 5,750 | 0 |
| 24,000 ÷ 4 | 6,000 | 0 |
| 25,000 ÷ 4 | 6,250 | 0 |
| 26,000 ÷ 4 | 6,500 | 0 |
| 27,000 ÷ 4 | 6,750 | 0 |
| 28,000 ÷ 4 | 7,000 | 0 |
| 29,000 ÷ 4 | 7,250 | 0 |
| 29,224 ÷ 4 | 7,306 | 0 |
| 30,000 ÷ 4 | 7,500 | 0 |
| 31,000 ÷ 4 | 7,750 | 0 |
| 32,000 ÷ 4 | 8,000 | 0 |
| 33,000 ÷ 4 | 8,250 | 0 |
| 34,000 ÷ 4 | 8,500 | 0 |
| 35,000 ÷ 4 | 8,750 | 0 |
| 36,000 ÷ 4 | 9,000 | 0 |
FAQ
How does long division work?
Long division breaks the calculation into repeated steps: divide, multiply, subtract, and bring down the next digit, one digit of the dividend at a time until every digit has been processed.
What does the remainder mean?
The remainder is what's left over after dividing as many whole times as possible. It is always smaller than the divisor — otherwise one more full division would still be possible.
Can this calculator divide decimals?
Yes. Enter a dividend or divisor with a decimal point and the calculator first converts both numbers to whole numbers (by multiplying by a power of ten), then performs the division and shows every step.