The answer is modular, insert style batteries. Anyone familiar with industrial warehouses knows of battery exchange in forklift fleets. The driver with an empty battery dives to the battery's Tatiana. He leaves for a pee and when he returns in 3 minutes the battery has been replaced with a fresh, charged cell.
Another example is the "exchange a tank" where you pick up full propane tanks and drop off your empty.
So imagine owning the car, but renting the battery.