Check with a real estate lawyer. I'm not a lawyer, so this isn't legal advice. However:
It's not likely you can accomplish what you want with a quit claim deed. A quit claim deed relinquishes any right you have in a property. What you want to do is subdivide the property. And that likely involves an application and approval process with the appropriate city or county. And there likely are a bunch of regulations you have to comply with--access to transportation, for instance, so that the property isn't landlocked. If the property has/needs a well or septic, you may need the well dug or the land perced. There may be a minimum size of lot required, especially if it's on well or septic. And on and on.
Again, get a good real estate lawyer. Tip: Get one who has good connections with the licensing county or city. A current or former mayor or town councilman would be good. A lot of zoning decisions are made not just on the facts, but on personal connections, too.
Hope that helps.