Long Division: 100000 ÷ 7
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How to divide 100,000 by 7 using long division and find the remainder?
Answer
100,000 ÷ 7 = 14,285 remainder 5
= 14,285.714285 ≈ 14,285.71
Remainder 5 is less than the divisor 7. Check: 14,285 × 7 + 5 = 100,000.
100,000 ÷ 7 in a column
| 1 | 4 | 2 | 8 | 5 | |||
| 7 | 1 | 0 | 0 | 0 | 0 | 0 | |
| − | 7 | ||||||
| 3 | 0 | ||||||
| − | 2 | 8 | |||||
| 2 | 0 | ||||||
| − | 1 | 4 | |||||
| 6 | 0 | ||||||
| − | 5 | 6 | |||||
| 4 | 0 | ||||||
| − | 3 | 5 | |||||
| 5 |
In the column: quotient 14,285, remainder 5.
Step by step: 100,000 ÷ 7
- Step 110 ÷ 7 → 1: 1 × 7 = 7, 10 − 7 = 3; bring down 0 → 30
- Step 230 ÷ 7 → 4: 4 × 7 = 28, 30 − 28 = 2; bring down 0 → 20
- Step 320 ÷ 7 → 2: 2 × 7 = 14, 20 − 14 = 6; bring down 0 → 60
- Step 460 ÷ 7 → 8: 8 × 7 = 56, 60 − 56 = 4; bring down 0 → 40
- Step 540 ÷ 7 → 5: 5 × 7 = 35, 40 − 35 = 5
- Quotient and remainder14,285 remainder 5
After the point, add a zero to the remainder: 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; 40 ÷ 7 → 5, remainder 5; remainder 5 again — the digits repeat.
100,000 ÷ 7 = 14,285.714285 ≈ 14,285.71
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