This response was provided by Darryl Coates, Illinois Department of Natural Resources, District Wildlife Biologist.
Unfortunately the only way to live with a skunk is to give them a lot of room. Skunks tend to mark their dens and territories with scent to let other animals know that they are there. And with all due respect, smart or dumb, dogs never, never, never learn to leave skunks alone. Moreover, skunks are known carriers of rabies and the chance of being bitten and/or sprayed puts you at risk. Therefore, I recommend that you have the animal(s) removed from your property. Nuisance Wildlife Control Operators that work in your area may be found on our web site on the 'Find a Professional' page. No easy answers here. Thanks for writing.