S.T.
My daughter only bit a child once - and that was after she was bitten by one girl repeatedly. She got tired of it - reached over the bit that little girl, right on the cheek - hard. I was horrified! But just as the teacher was telling me about it and I was looking at the other little girl's face, her mom arrived. When the teacher told mom that "another child" bit her after being bitten a few times the mom, to my surprise said "Good - she deserves it - maybe she'll stop biting other children now". Her daugher never bit after that.
I don't know if you ever saw the movie "Sled-Dogs" - but an old mountain man tells the newbie that a particular dog needs to know who's boss and to show him by biting him on the ear. later in the movie the newbie bites the dog on the ear and the dog begins to mind his master. (The old dude asked incredulously "You did what? I wasn't serious!")
The point is - your child needs to understand in no uncertain terms that she can't bite others. Perhaps she's connected the fact that when she bites she gets to go home with you. Instead she needs to connect an unpleasant consequence with biting - and that's going to be hard to do if the consequence is delayed too much. Ask the daycare provider if she couldn't be put in a highchair (belted in so she can't wiggle out) with no stern discussion or talking to - just a very matter of fact pickup, & put into highchair and then pretty much ignored (except for well-being) immediately after biting. Set up a rewards chart to coordinate. When she has a bite-free day she puts a sticker on the chart. When there's a week of stickers she gets a special treat. She's encouraged to have good behavior "now Katie, I KNOW that you're getting to be a big girl now and big girls don't bite. i am going to be so proud of you when you finish the day with no biting! " When you drop her off, reinforce good behavior. ignore bad behavior.
Between the at-home stickes for desired behavior and the at-school highchair, ignored by teachers treatment for negative behavior she'll figure it out pretty quickly.
Good luck mama!