We got a refund check and the dealership had put my name on the check. However, we need the money to go to my boyfriend's account. If I go up to the bank with him and explain that I want this check deposited in his account will they let us do that? To be clear, we do not have the same banking company.
The right way to do this is to endorse the check by signing the back, then write "Pay to the order of " followed by that person's name.
However, since this process is highly susceptible to fraud (someone could just take a check that you endorsed, or forge an endorsement, and sign it over), not all banks allow this. If you are there to prove that you endorsed the check in the first place, it might reassure the bank.
Bottom line: go to your boyfriend's bank before endorsing the check, explaining what you want to do, and they'll tell you how to do it. It will be very helpful if you're there with identification to verify that you endorsed the check in the first place.