If you open up a terminal and type (as root): lspci look for soemthing that looks like:
03:00.0 Network controller: Broadcom Corporation BCM94311MCG wlan mini-PCI (rev 01)
You can take that information and look for more detailed specifics on what driver you'll need to install, and how to do it. In the example above, the chip is the Broadcom BCM43xx. Another example could look like this:
02:00.0 Ethernet controller: Atheros Communications, Inc. AR5212 802.11abg NIC (rev 01)
which would be for the Atheros chipset.
lspci will show you alot of stuff, so you'll have to look through it to find the entry for your wireless card. With that information, you can search through the tons of tutorials and guides for getting that chipset to work
EDIT: After a quick search, I found another Dell C610 laptop saying this from lspci:
03:00.0 Network controller: Intersil Corporation ISL3886 [Prism Javelin/Prism Xbow] (rev 01)
So, you could now search for guides on installing Prism drivers and getting them up and running. (Here's a hint, use ISL3886 and Prism during your searching)
EDIT2: Another thought would be to try using it via ndiswrapper. This way you use the Windows drivers, and ndiswrapper provides a mash for them to work with linux. Personally, I'd look around to see if you could get it going with native linux stuff first off, before giving ndiswrapper a go.