Think about the following:

In the medieval ages, people were popping out 5-15 children on average. Child mortality was extremely high, with roughly 80% of children dying before they were 5 y/o.

Now, what should god do (if they existed)? Let the children life and cause overpopulation, which leads to famine and disaster, or kill a lot of children? There's literally no solution.

That was until contraceptives were found. And interestingly, contraceptives exist at roughly the same time that antibiotics exist, thus preventing both high child-mortality and overpopulation.