Yes, that's generally how we write it. The placement shift works like in English "The animal" becomes "The little animal" rather than "Little the animal", it's just that we keep the definite suffix on the noun as well.
You'll see a few exceptions dropping the suffix in proper nouns (Det kongelige slott), and occasionally find the same in poetry (to keep with the metre), as well as in old (Danish inspired) prose.
The dropped suffix is also used very sparingly in modern prose, but you run the risk of sounding either uneducated or pretentious - or both - so it's not something I'd advise learners to try their hand at. We will not allow it in this course.
You're correct in assuming that it's "den" for m/f nouns. :)