Creating and importing AI graphics WITHOUT including the whole artboard

Hello,

I am a born-again AI user. When I used it 10-15 years ago, any file you created could be created, and without doing anything special, only the parts of the artboard that had content on them would be saved, so when you imported the file to Word, InDesign, FrameMaker, etc, you would only see the image itself.

Now, when I create a graphic and import it to FrameMaker, the entire artboard gets imported. The "content," (drawing that I created) is a tiny little part with a bunch of white space around it.

I'm sure this is a VERY elementary, bonehead question, but like I said, I'm just returning to AI after a 15 year hiatus and a lot has changed. Thank you for your help.