Each of the digits in the number $5238641$ is arranged in ascending order from left to right. How many digits will remain in the same position as in the original number?

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**Solution:**

1. The original number is $5238641$.

2. Arrange the digits in ascending order:
   - Original digits: $5, 2, 3, 8, 6, 4, 1$
   - Sorted ascending: $1, 2, 3, 4, 5, 6, 8$

3. Compare the digits at each position in the original and sorted numbers:
   - Position 1: Original $5$, Sorted $1$ (different)
   - Position 2: Original $2$, Sorted $2$ (same)
   - Position 3: Original $3$, Sorted $3$ (same)
   - Position 4: Original $8$, Sorted $4$ (different)
   - Position 5: Original $6$, Sorted $5$ (different)
   - Position 6: Original $4$, Sorted $6$ (different)
   - Position 7: Original $1$, Sorted $8$ (different)

4. Only the digits at positions 2 and 3 remain unchanged.

**Answer:** Two

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