Litigation is the more traditional method o the two. This involves filing a lawsuit against your spouse and having a separate lawyer represent each of your cases in front of a judge. This is often the method people go with when the divorce is more complicated, like when there is hostility or even just custody issues.
Medication means a third-party attorney sits with you and your spouse to help you craft an agreement for ending your marriage. Often this is faster, less expensive, and less emotionally draining. However, it is only an option if your divorce isn’t complicated and neither party is hostile towards the other.