I just discovered a neat way to embed individual Instagram photos and videos like this one from the most awesome paperfashion on your website. This one is from paperfashion. (Hit the arrow to play the video).
Thanks, Hubspot for letting us know how to do the embedding. Since that article was written, the way you find the embed code has changed: instead of selecting the embed link in a blue column down the right side as the post says, click the three dots at the bottom of the white panel to the right of your image.