How deep? Do this all the time. Depending on depth and how aggressive you want to get, like Neil said, chainsaw, or circular saw is always my choice. Big 14".
The key here is you cut the slot, then cut a bunch of slot cuts down the center, as close to each other as possible, then simply use a screwdriver between then and break the tabs off. You will be left with a slightly bumpy floor. That is either cleaned up with skillful sideways plane cutting with the chainsaw or circ, or can just use a wood chisel.
All in the woodworking 101 handbook......lol