Divorced means there is a driveshaft between the transmission and transfer case as opposed to them being directly attached. A couple advantages to divorced cases is that you can lift them higher because you can drop the t-case and reduce the angles you would put on your driveshafts to the axles. Another is that you can often pull the transmission without removing the transfer case or the rear driveshaft by pulling the shaft between the transmission and t-case and possibly the front driveshaft (also not always necessary).