To solve this expression, we first need to simplify the fractions:

2 11/13 = 2 + 11/13 = 26/13
18 11/13 = 18 + 11/13 = 231/13
10 1/24 = 10 + 1/24 = 241/24
15/62 - 2/4 = 15/62 - 31/62 = -16/62 = -8/31

Now we can substitute these values back into the expression:

(26/13 - 231/13) : 241/24 - 8/31
(26 - 231)/13 : 241/24 - 8/31
-205/13 : 241/24 - 8/31

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction:

-205/13 : 241/24 - 8/31 = -205/13 24/241 - 8/31
= -5 2 - 8/31
= -10 - 8/31

Therefore, the answer is -10 - 8/31 or approximately equal to -10.2581.