A gem of a book. Also check out "Bad Circuits": https://artofelectronics.net/bad-circuits/
I can appreciate the point of view that self discovery of the answer is an important path to learning, but you never know if you are learning the correct lesson. I fortunately had a understanding chief engineer who helped guide me in my early career before I moved to software.
A real divider:
Input o----vvvvv----o-------------o Output
|
|
Z
Z
Z
|
|
o
Ground
The bad one: Input o-------------o----vvvvv----o Output
|
|
Z
Z
Z
|
|
o
Ground
Looking at it this way, it might be a bit easier to see that in the good circuit, both resistors can be in a Kirchoff voltage loop that includes the input, while in the bad one they can't.(Edit: it appears I don't understand linebreaks on HN, so things are gonna appear garbled until I fix it.)
(Edit 2: Fixed.)