Let the two natural numbers be $n$ and $n + 10$.

We need to find how many numbers divisible by 5 lie strictly between them.

Case 1: $n = 1 \rightarrow$ numbers between 1 and 11 are 2, 3, 4, 5, 6, 7, 8, 9, 10. Multiples of 5 in this range: 5, 10 $\rightarrow$ two numbers.

Case 2: $n = 5 \rightarrow$ numbers between 5 and 15 are 6, 7, 8, 9, 10, 11, 12, 13, 14. Multiples of 5 in this range: 10 $\rightarrow$ one number.

Thus, depending on the starting point, there can be one or two such numbers.

Hence, the correct conclusion is that there can be more than one such number.