The muscle helps mix and break contents into nutrients. the skeletal helps you swallow foods. It may not sound relatable but it is.
Cardiac: helps the heart pump blood
the organs in this system tat are made out of the muscle is the stomach and the intestine. the muscle in the intestine helps move around the waste so it won't have to depend on the waste to make it's journey alone.
It also controls the contractions of the heart. the stomach is it's own muscle. It's moves around things until they enter the small intestine.
the muscle's in the intestine helps move around the waste before it exits the body. the digestive tract contains a layer of muscles to allow food to go through.
here is a video on the muscles in the digestive tract. this is an article with the video inside it.