Should I break my fast with the country where I began fasting, or with the country where I currently reside?

What is considered is the country where you reside at the time of 'Eid al-Fitr, so you break your fast with them. You must count the days you have fasted. If they are 29 days, then your fasting is sufficient. If they are fewer, then complete them to 29 days after the 'Eid.