Long Division: 10000 ÷ 6
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How to divide 10,000 by 6 using long division and find the remainder?
Answer
10,000 ÷ 6 = 1,666 remainder 4
= 1,666.6 ≈ 1,666.67
Remainder 4 is less than the divisor 6. Check: 1,666 × 6 + 4 = 10,000.
10,000 ÷ 6 in a column
| 1 | 6 | 6 | 6 | |||
| 6 | 1 | 0 | 0 | 0 | 0 | |
| − | 6 | |||||
| 4 | 0 | |||||
| − | 3 | 6 | ||||
| 4 | 0 | |||||
| − | 3 | 6 | ||||
| 4 | 0 | |||||
| − | 3 | 6 | ||||
| 4 |
In the column: quotient 1,666, remainder 4.
Step by step: 10,000 ÷ 6
- Step 110 ÷ 6 → 1: 1 × 6 = 6, 10 − 6 = 4; bring down 0 → 40
- Step 240 ÷ 6 → 6: 6 × 6 = 36, 40 − 36 = 4; bring down 0 → 40
- Step 340 ÷ 6 → 6: 6 × 6 = 36, 40 − 36 = 4; bring down 0 → 40
- Step 440 ÷ 6 → 6: 6 × 6 = 36, 40 − 36 = 4
- Quotient and remainder1,666 remainder 4
After the point, add a zero to the remainder: 40 ÷ 6 → 6, remainder 4; remainder 4 again — the digits repeat.
10,000 ÷ 6 = 1,666.6 ≈ 1,666.67
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