Long Division: 10000 ÷ 7
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How to divide 10,000 by 7 using long division and find the remainder?
Answer
10,000 ÷ 7 = 1,428 remainder 4
= 1,428.571428 ≈ 1,428.57
Remainder 4 is less than the divisor 7. Check: 1,428 × 7 + 4 = 10,000.
10,000 ÷ 7 in a column
| 1 | 4 | 2 | 8 | |||
| 7 | 1 | 0 | 0 | 0 | 0 | |
| − | 7 | |||||
| 3 | 0 | |||||
| − | 2 | 8 | ||||
| 2 | 0 | |||||
| − | 1 | 4 | ||||
| 6 | 0 | |||||
| − | 5 | 6 | ||||
| 4 |
In the column: quotient 1,428, remainder 4.
Step by step: 10,000 ÷ 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
- Quotient and remainder1,428 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.
10,000 ÷ 7 = 1,428.571428 ≈ 1,428.57
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