I'm not divorced, but a single parent via adoption. I just wanted to caution people not to skip the important step of making sure you can prove you have the right or the permission to take your child out of the country. I've heard many people say "Oh, they never check." Well, my family is living proof that they do.
In the summer of 2003 my mother and I travelled with my two children from the United States to Vancouver, B.C., to take an Alaskan cruise on RCCI. When our cruise was over, we were stopped while disembarking in Vancouver and I was asked to provide documents proving they were my children and that there was no other parent. The Canadian officials went over everything, tried to pick up the corners of photos, held seals up to the light, and appeared to be matching travel dates on our passports. Another official was called over to read original documents in Chinese. I was so glad I had everything with me. It only took a few minutes, but I could tell they meant business and that they were clearly searching for specific details.
I've had one or both kids out of the country a few times before that, and was never asked anything before except "Where is the father?" I was never asked to show any documents before except their passports, even when I took my elder daughter back to China.