When you are in the HUB (where you can pick the location to go to), you can click on the protagonist's sprite to print the current objective. You can also check the Journal for your current quest. If I recall correctly, you need to wait until Hestia is back, and Bell is not allowed past the fourth floor. To progress with the days, the "zzz" icon should be interactable.
You can choose to grind a bit (both for stats and money to buy items) since there'll be your first boss fight soon after.