The insurance side of it really depends on your insurance company. The registration side of it really depends on the state.
I used to work for a Florida company mostly from home (Ontario, Canada) but went onsite every few weeks so kept a car there. It was registered there at a friend's address and I had insurance in Florida.
A few years ago, I bought a used motor home in AZ, registered it through a mail forwarding company in SD (
www.americas-mailbox.com and left it most of the year in Florida. It was insured through my Ontario insurance.
Now, I have a motor home registered and insurced in VT which we leave part of the year in Ontario, part of the year in Florida.
