One of the challenges in Daniel is that there is some deuterocanonical text (from the Septuagint) inserted in the middle of chapter 3. In the print version of the RSV-CE you have chapter 3 verses 1-23, italicized verses 1-68, then non-italicized verses 24-30. To make things a little easier logic-wise, I named those italicized verses 1-68 "chapter 15". It helps to not have two sets of verses in chapter 3 with the same numbers.
Unfortunately, what works logic-wise, can sometimes be initially confusing to the human eye.
But, I assure you, the above listing is as intended! The first "chapter 3" is verses 1-23. Then the 68 verses of "chapter 15". Then the second "chapter 3", which is verses 24-30.
Not an ideal solution, but hopefully not too confusing now that it has been explained.
For even more fun with chapter numbering, see what happens in the book of Esther.
Update: Now available in the app store.