Long Division: 809 ÷ 7
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How to divide 809 by 7 using long division and find the remainder?
Answer
809 ÷ 7 = 115 remainder 4
= 115.571428 ≈ 115.57
Remainder 4 is less than the divisor 7. Check: 115 × 7 + 4 = 809.
809 ÷ 7 in a column
| 1 | 1 | 5 | ||
| 7 | 8 | 0 | 9 | |
| − | 7 | |||
| 1 | 0 | |||
| − | 7 | |||
| 3 | 9 | |||
| − | 3 | 5 | ||
| 4 |
In the column: quotient 115, remainder 4.
Step by step: 809 ÷ 7
- Step 18 ÷ 7 → 1: 1 × 7 = 7, 8 − 7 = 1; bring down 0 → 10
- Step 210 ÷ 7 → 1: 1 × 7 = 7, 10 − 7 = 3; bring down 9 → 39
- Step 339 ÷ 7 → 5: 5 × 7 = 35, 39 − 35 = 4
- Quotient and remainder115 remainder 4
After the point, add a zero to the remainder: 40 ÷ 7 → 5, remainder 5; 50 ÷ 7 → 7, remainder 1; 10 ÷ 7 → 1, remainder 3; 30 ÷ 7 → 4, remainder 2; 20 ÷ 7 → 2, remainder 6; 60 ÷ 7 → 8, remainder 4; remainder 4 again — the digits repeat.
809 ÷ 7 = 115.571428 ≈ 115.57
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