You're right. I wonder why I didn't see that.The circuit that LDC3 describes will only divide the clock by two. The last three stages are merely acting as a shift register.
Don't worry. I spotted it right away, but had to check it twice and ask three ways if my conclusion made sense before I was confident enough to point it out.You're right. I wonder why I didn't see that.
Excellent option, each output pin on the CD4040 provides a different divide by \(2^{n}\) down to n=14. A single chip solution.