Motor vehicle change of insurance

Hello dear forum, I’m new here, so I’m sorry if I’m addressing the topic for the x-time, but it’s very important to me. My wife and I are in possession of an Audi A4 Bj 1996 and had a “small” accident last year, which caused the insurance of our car to rise enormously. My wife now pays 380 euros quarterly, which is too much for such a car with a value of 800 euros. Is it now possible to change the insurance in which my wife unsubscribes the car ( it is registered on you) and I register it with new insurance on my name? I was already with a new insurance & have described the situation there. This then made me a great offer and immediately gave me an EvB number and meant to unsubscribe the car with the current insurance with the reason of the sale and then register on my name, that would work, but I am not sure if this also works. We don’t want to miss out on the wrong Schri tt, so I’d rather ask again here. Thanks for the help and greetings ahochzwei