Lee Enfield 303's are notoriously hard on brass. Without a "field" headspace gauge, it is difficult to say that "headspace" is actually the problem. They were never designed or intended for reloads. Typically, the chambers are much longer/larger than the original brass. You can probably see that the shoulder on the fired case is further forward than on an unfired case. If the reloader than "full sizes", which pushes the shoulder back to where it started, the next firing simply repeats. That process is stretching brass from the case head towards the neck, thinning the case walls. In as few as 1 or 2 re-loads, the case head breaks off, with the body stuck in the chamber. I assume, here, that when you say "split", you meant case head separated from the body of the case? The solution is to neck size; even better when combined with the "o-ring" trick on the very first firing of the new case.
If by "split", you are referring to a longitudinal crack in the neck, then the brass needs to be annealed - it is work hardened or age hardened, and needs to be softened. Nothing whatsoever to do with headspace.