All the foregoing is much too complicated for me. Maybe it amounts to the same way that I figured it out, but the obsfucation obliterates the similarity. Here’s my take:
Given that the sums of the sections must all equal, I thought it prudent to find the outside parameters of those sums. The total of the digits on the clockface is 78.
If you draw 2 straight lines on the clockface, they will either intersect and create 4 sections; or not, and create 3 sections.
So, the next step would be to find out what the sums of the numbers in the sections