Here is a concrete garage floor that has a pitch and/or concavities that cause water to puddle inside the garage in the middle of the slabs instead of draining out the front.
What are realistic solutions to prevent the puddling of water brought in by cars?
I don't think it would be effective to grind the cement because the adjacent driveway slab starts at the same level as the current garage slab, so grinding in the garage to create a pitch would just cause water to pool around the door.
I also inquired about mud-jacking but was told that can't be done for such large slabs.