Having switched to a new phone that required the micro SIM cards (My local phone provider just used a hand punch to reduce the SIM size!) I discovered that I had to put my SIM back into the old phone to retrieve the text message with my Google sign-in code. This was because my new Motorola Moto G wouldn't let me actually access the text messages until I'd finished signing in! (I don't think Motorola thought that bit through.)
I used an adaptor for the SIM to allow its use in the full size SIM slot on the old phone and it promptly jammed in ratchet-style on the front contacts. This video is showing how I solved that issue, just in case it helps others.