If I married in Thailand, do I need to go to the same district office (Khet or Amphur) where I was married to obtain a divorce in Thailand?

In general, if you legally married in Thailand you can register your divorce at any District Office (“Khet or Amphur”). "Khet" is the legal term used for district offices within Bangkok.  District Offices outside of Bagkok are referred to as "Amphur offices".   

Although administrative offices (Khet or Amphur) will process uncontested divorces for qualifying persons, there are a number of document requirements. Also, in some circumstances a court order may be preferable to an administrative divorce obtained at a district office.  For example some jurisdictions outside of Thailand may require court orders of child custody , rather than administrative records, to be enforced.