That does suck, but if it's any comfort, it's not that unusual when doing any kind of remodeling in a bathroom. Many people have to go through the same thing.
When you're coming back with new, make sure they seal all along the bottom of the tub, including along the baseboard and shoe molding. You want to keep the water dragged out of the tub on the floor, not running back up under the tub, or under the baseboard.
Since you're yanking the tub anyhow, you may want to consider fiberglass one or 3 piece units for our shower/tub combo (if that's what you have)