Long Division: 31 ÷ 14
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How to divide 31 by 14 using long division and find the remainder?
Answer
31 ÷ 14 = 2 remainder 3
= 2.2142857 ≈ 2.21
Remainder 3 is less than the divisor 14. Check: 2 × 14 + 3 = 31.
31 ÷ 14 in a column
| 2 | ||||
| 1 | 4 | 3 | 1 | |
| − | 2 | 8 | ||
| 3 |
In the column: quotient 2, remainder 3.
Step by step: 31 ÷ 14
- Step 131 ÷ 14 → 2: 2 × 14 = 28, 31 − 28 = 3
- Quotient and remainder2 remainder 3
After the point, add a zero to the remainder: 30 ÷ 14 → 2, remainder 2; 20 ÷ 14 → 1, remainder 6; 60 ÷ 14 → 4, remainder 4; …; the remainder 2 returns after step 7 — period length 6.
31 ÷ 14 = 2.2142857 ≈ 2.21
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