5 divisions have never been needed. I used to coach in another state where our District had 23 teams. There were 8 districts. That 170+ schools in 1 division, and there were 5 divisions.
They had the option of making 3 divisions, then based on how many schools played the sport having either 3 or 6 (big/little) state titles. This would make a lot more sense, thus the reason it probably wasn't chosen:) (Remember when football had a big 16...but no other sport did)