Numbers Divisible by 11 up to 500:
There are a total of 45 numbers up to 500 that are divisible by 11.

Explanation:

Method 1:
To find out how many numbers up to 500 are divisible by 11, we can use the formula:
\[ \frac{{\text{Largest Number}} - \text{Smallest Number}}{11} + 1 \]
Applying the formula:
\[ \frac{{500 - 11}}{11} + 1 = \frac{489}{11} + 1 = 44 + 1 = 45 \]
Therefore, there are 45 numbers up to 500 that are divisible by 11.

Method 2:
Another way to find these numbers is to list them out:
11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242, 253, 264, 275, 286, 297, 308, 319, 330, 341, 352, 363, 374, 385, 396, 407, 418, 429, 440, 451, 462, 473, 484, 495
This list contains 45 numbers that are divisible by 11 up to 500.