Any writers out there that can please help give me examples of writing transitions of time smoothly?

So this is a specific thing I need help with let me explain first.

You know in movies you'll see a character for a course of days passing by, each day it shows briefly what they are doing in that day before it transitions into the next day where the character is doing something new or they are doing the same thing.

It's showing the passing of time. I want to write something like that but I don't know how to write it so it flows nicely and it doesn't feel choppy.

Should I put "The next day, the second day, the third day... Etc" I feel like that'll get boring after a while and I'll be repeating myself too much.

I plan to write a full week of brief things my character is doing as time is passing. Do you know how I can write this? Thank you so very much!

Any writers out there that can please help give me examples of writing transitions of time smoothly?
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