Divorce is when one or both partners in a legal marriage seek the legal dissolution of that marriage. An order of divorce is usually, but not always, issued by a court and legally terminates a marriage. In many countries, it is typical, and sometimes required, that a divorce order resolves all issues arising out of the marriage, including parenting of minor children, financial support, and the division of property and liabilities.
Based on reciprocity, a judgment of divorce from a state court in the United States generally would be recognized in a foreign country that has a secular legal system. You may wish to consult an attorney in the foreign country to determine if your U.S. divorce decree would be recognized there. Most U.S. embassies and consulates have lists of lawyers on their websites that you may use as a resource to locate a lawyer in that country.
For further legal information about recognition of a divorce obtained abroad, go to the Department of State website at Divorce Abroad - Legal Issues.