Long Division: 987 ÷ 17
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How to divide 987 by 17 using long division and find the remainder?
Answer
987 ÷ 17 = 58 remainder 1
= 58.0588235294117647 ≈ 58.06
Remainder 1 is less than the divisor 17. Check: 58 × 17 + 1 = 987.
987 ÷ 17 in a column
| 5 | 8 | ||||
| 1 | 7 | 9 | 8 | 7 | |
| − | 8 | 5 | |||
| 1 | 3 | 7 | |||
| − | 1 | 3 | 6 | ||
| 1 |
In the column: quotient 58, remainder 1.
Step by step: 987 ÷ 17
- Step 198 ÷ 17 → 5: 5 × 17 = 85, 98 − 85 = 13; bring down 7 → 137
- Step 2137 ÷ 17 → 8: 8 × 17 = 136, 137 − 136 = 1
- Quotient and remainder58 remainder 1
After the point, add a zero to the remainder: 10 ÷ 17 → 0, remainder 10; 100 ÷ 17 → 5, remainder 15; 150 ÷ 17 → 8, remainder 14; …; the remainder 1 returns after step 16 — period length 16.
987 ÷ 17 = 58.0588235294117647 ≈ 58.06
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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 136 ÷ 17 | 8 | 0 |
| 153 ÷ 17 | 9 | 0 |
| 187 ÷ 17 | 11 | 0 |
| 204 ÷ 17 | 12 | 0 |
| 221 ÷ 17 | 13 | 0 |
| 238 ÷ 17 | 14 | 0 |
| 255 ÷ 17 | 15 | 0 |
| 348 ÷ 17 | 20 | 8 |
| 987 ÷ 17 | 58 | 1 |
| 1,000 ÷ 17 | 58 | 14 |
| 1,700 ÷ 17 | 100 | 0 |
| 10,000 ÷ 17 | 588 | 4 |
| 17,000 ÷ 17 | 1,000 | 0 |
| 100,000 ÷ 17 | 5,882 | 6 |
| 549,999 ÷ 17 | 32,352 | 15 |