Hey there! I went through this exact scenario. I was 12, my other siblings 14 and 18. My parents told us they were getting divorced together, and did everything in their power to disrupt our lives as little as possible. They didn't go to court, there was no fighting.
After they separated, we continued to do things as a family, spent holidays together and even sometimes had dinner together. When I went away to University, my XC coaches didn't even know my parents weren't together for my first year because they drove together to watch all our races. Today, my parents are good friends. They both help each other with things when the other needs it and we still have dinners as a family and still celebrate holidays together.
Both my parents have seen other people over the last 15 years, and I would say the most important thing they did in the instance (especially when we were younger) was not bring that person into our lives too quickly. In general, the most important thing they did was maintain our status as a family unit that loves and takes care of each other, even if we were all under the same roof.
I'm not saying I didn't have lingering trauma from the divorce (my siblings and I all avoided relationships for a long time as adults), but it didn't ruin us, as divorce so often does to other children. So yes, I believe what you're describing is absolutely possible, but it takes A LOT of work on the part of the parents to make that happen.