Long Division: 67000 ÷ 52
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How to divide 67,000 by 52 using long division and find the remainder?
Answer
67,000 ÷ 52 = 1,288 remainder 24
= 1,288.461538 ≈ 1,288.46
Remainder 24 is less than the divisor 52. Check: 1,288 × 52 + 24 = 67,000.
67,000 ÷ 52 in a column
| 1 | 2 | 8 | 8 | ||||
| 5 | 2 | 6 | 7 | 0 | 0 | 0 | |
| − | 5 | 2 | |||||
| 1 | 5 | 0 | |||||
| − | 1 | 0 | 4 | ||||
| 4 | 6 | 0 | |||||
| − | 4 | 1 | 6 | ||||
| 4 | 4 | 0 | |||||
| − | 4 | 1 | 6 | ||||
| 2 | 4 |
In the column: quotient 1,288, remainder 24.
Step by step: 67,000 ÷ 52
- Step 167 ÷ 52 → 1: 1 × 52 = 52, 67 − 52 = 15; bring down 0 → 150
- Step 2150 ÷ 52 → 2: 2 × 52 = 104, 150 − 104 = 46; bring down 0 → 460
- Step 3460 ÷ 52 → 8: 8 × 52 = 416, 460 − 416 = 44; bring down 0 → 440
- Step 4440 ÷ 52 → 8: 8 × 52 = 416, 440 − 416 = 24
- Quotient and remainder1,288 remainder 24
After the point, add a zero to the remainder: 240 ÷ 52 → 4, remainder 32; 320 ÷ 52 → 6, remainder 8; 80 ÷ 52 → 1, remainder 28; 280 ÷ 52 → 5, remainder 20; 200 ÷ 52 → 3, remainder 44; 440 ÷ 52 → 8, remainder 24; remainder 24 again — the digits repeat.
67,000 ÷ 52 = 1,288.461538 ≈ 1,288.46
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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 60,000 ÷ 52 | 1,153 | 44 |
| 61,000 ÷ 52 | 1,173 | 4 |
| 62,000 ÷ 52 | 1,192 | 16 |
| 63,000 ÷ 52 | 1,211 | 28 |
| 64,000 ÷ 52 | 1,230 | 40 |
| 65,000 ÷ 52 | 1,250 | 0 |
| 66,000 ÷ 52 | 1,269 | 12 |
| 67,000 ÷ 52 | 1,288 | 24 |
| 68,000 ÷ 52 | 1,307 | 36 |
| 69,000 ÷ 52 | 1,326 | 48 |
| 70,000 ÷ 52 | 1,346 | 8 |
| 71,000 ÷ 52 | 1,365 | 20 |
| 72,000 ÷ 52 | 1,384 | 32 |
| 73,000 ÷ 52 | 1,403 | 44 |
| 74,000 ÷ 52 | 1,423 | 4 |