Long Division: 1000 ÷ 7
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How to divide 1,000 by 7 using long division and find the remainder?
Answer
1,000 ÷ 7 = 142 remainder 6
= 142.857142 ≈ 142.86
Remainder 6 is less than the divisor 7. Check: 142 × 7 + 6 = 1,000.
1,000 ÷ 7 in a column
| 1 | 4 | 2 | |||
| 7 | 1 | 0 | 0 | 0 | |
| − | 7 | ||||
| 3 | 0 | ||||
| − | 2 | 8 | |||
| 2 | 0 | ||||
| − | 1 | 4 | |||
| 6 |
In the column: quotient 142, remainder 6.
Step by step: 1,000 ÷ 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
- Quotient and remainder142 remainder 6
After the point, add a zero to the remainder: 60 ÷ 7 → 8, remainder 4; 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; remainder 6 again — the digits repeat.
1,000 ÷ 7 = 142.857142 ≈ 142.86
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- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Percentage Calculator: Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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