Is mathematics built on the first concept: division, or analytics?

Are there 2 schools, synthetic and analytic math?

Obviously Peano's axioms are synthetic. But they rest on the foundation of division. Division includes infinities and wholes. You can't have wholes without division from a greater whole (you already have apples divided from the continuum if you count them).

Do you know of any good, easy to understand without years of symbolic training (explained by non-lazy, non divisive, non Trumplike people), explanations of the analytic foundations of math?