Long Division Calculator
Divide any integer step by step. Shows the quotient, remainder, and decimal expansion — with both US and European notation.
dividend ÷ divisor = quotient R remainder. Example: 847 ÷ 12 = 70 R 7, or 70.583... Steps: divide → multiply → subtract → bring down → repeat. European notation: 847 : 12 = 70 R 7.
Long Division Methods by Country
| Country | Division symbol | Layout style | Remainder shown as |
|---|---|---|---|
| 🇺🇸 USA | ÷ or ⟌ | Division house (top quotient) | R7 or 7/12 |
| 🇬🇧 UK | ÷ | Similar to US | Remainder 7 |
| 🇩🇪 Germany | : | Horizontal inline | Rest 7 |
| 🇫🇷 France | : | Divisor written right, quotient below | reste 7 |
| 🇯🇵 Japan | ÷ | Similar to US (taught as 割り算) | あまり7 (amari 7) |
| 🇮🇳 India | ÷ | US-style division house | R7 |
| 🇪🇸 Spain | : | Divisor right, quotient right | resto 7 |
Frequently Asked Questions
How do you divide 847 by 12 step by step?
847 ÷ 12: Step 1: 8 ÷ 12 = 0 remainder 8. Bring down 4 → 84. Step 2: 84 ÷ 12 = 7 (7×12=84), remainder 0. Bring down 7 → 07. Step 3: 7 ÷ 12 = 0 remainder 7. Quotient: 70, Remainder: 7. Full answer: 70 R 7, or 70.583...
Why do European countries use : instead of ÷?
The obelus (÷) was introduced by Johann Heinrich Rahn in 1659. The colon (:) for division was used by Leibniz. European countries largely adopted the Leibniz notation, while UK and US kept the obelus. Both mean the same operation.
What does the remainder mean in division?
The remainder is what is left over after division. 847 ÷ 12 = 70 remainder 7 means 847 = 12 × 70 + 7. Remainders appear in modular arithmetic, clock arithmetic, and real-world problems like distributing items evenly.
When should you express remainder as a fraction vs decimal?
Context matters. In elementary math: express as R7. In fractions context: 70 and 7/12. In decimal context: 70.5833... For European exams (German Realschule, French collège), the notation differs slightly but the underlying math is identical.