The Rebbe's guidance on divorce:
Divorce is a last resort. Shalom bayis is paramount; divorce should be considered only after persistent effort and spiritual dedication, and after trying every avenue, including rabbinic mediation (IK 5685, 9990, 10942). Where the difficulty is medical, first exhaust every available medical option (IK 6098). See also: Marriage – Peace in the home (shalom bayis).
When a divorce does happen, do it properly and promptly. Delaying a get for practical reasons, such as waiting for another match, is not justified (IK 6342). Consult the local rabbinic authorities promptly to make sure every halachic step has been properly taken (IK 10843). On halachic details of a get, see IK 547, 2595, 3133, 8920. Involvement in agunah cases requires great caution and should be undertaken only with proper rabbinic authority (IK 1801, 8094).
After divorce: strengthen trust in Hashem's timing, keep growing in Torah and mitzvos, and make sure there is full forgiveness with one's former spouse (IK 2568). Concerns about marrying a divorcee are generally unfounded today (IK 2846), and parents' divorce is no reason to delay a child's shidduch (IK 9439). See also: שידוכים – נישואין שניים.