Breaking up chronology can result in a choppy story. Have you tried reorganizing the scenes so they stay in chronological order? If a chapter covers an entire day, the odds are it's more than one scene (scene = unity of character, time and place, with no breaks for time/location to change, with a summary of "several hours later" or "for the next few hours, he did such-and-such until it was time to chase bad guys again").
So, character A does something important for the plot at noon on Wed., and the scene ends. New scene: While Character A is taking a nap, Character B does something at 1 pm on Wed., and the scene ends. New scene: Character A gets up and does something at 3 pm, and the scene ends. And so on.
Check your scenes, and you'll probably find spots where Character A is going to the bathroom and sitting around waiting or whatever, and you're skipping over those times anyway (Jack Bauer apparently never uses the bathroom, but even he gets a few minutes of rest every couple hours, usually when he's unconscious or locked up, and that happens off-screen), so there's a break where you can then skip to Character B's plot line.
Remember that you're not telling every minute of every character's actions over the course of the story, just the key moments, the ones that affect the plot.
JD