For those not brought up with the word, in certain parts of the UK a "divvy" is someone who's not the sharpest tool in the shed. There are various possible origins for the word but it's generally meant as a fairly harmless insult. It's apparently from the north east of England where I grew up, but I have to say, I always associate it with Scousers (from Liverpool) myself.
Obviously, when referring to a bike-sharing scheme, the word divvy is the "divvying up" version.
I know it's ridiculous but - surely they should know that they've actually called their scheme the Idiot Bike-Sharing Scheme?
People are even riding round with Divvy written on the bike. Tee hee.