How are the daily tasks divided according to gender in Frenchie's new family? How are these tasks valued in the family, and how does this compare to gendered tasks in our culture?

The tasks are divided between the Hunters and the Homesteaders. The Hunters being the men.... the Homesteaders being the women. These are traditional roles with the men marked as the providers, and the women taking care of home and family.

The second part of your question calls for personal experience and opinion.