Long Division: 53 ÷ 17
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How to divide 53 by 17 using long division and find the remainder?
Answer
53 ÷ 17 = 3 remainder 2
= 3.1176470588235294 ≈ 3.12
Remainder 2 is less than the divisor 17. Check: 3 × 17 + 2 = 53.
53 ÷ 17 in a column
| 3 | ||||
| 1 | 7 | 5 | 3 | |
| − | 5 | 1 | ||
| 2 |
In the column: quotient 3, remainder 2.
Step by step: 53 ÷ 17
- Step 153 ÷ 17 → 3: 3 × 17 = 51, 53 − 51 = 2
- Quotient and remainder3 remainder 2
After the point, add a zero to the remainder: 20 ÷ 17 → 1, remainder 3; 30 ÷ 17 → 1, remainder 13; 130 ÷ 17 → 7, remainder 11; …; the remainder 2 returns after step 16 — period length 16.
53 ÷ 17 = 3.1176470588235294 ≈ 3.12
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