Pictures are great when they supplement the text. If you have diagrams explaining the process, then by all means please post them.
There's no problem to having many pictures in an answer if they're relevant. For example, here is the answer on Science Fiction and Fantasy with the largest number of images (43) — all the images are relevant, if peripheral. This question has even more (this one may be a tad over the top). (Courtesy of this query — warning, it's expensive, it probably won't work on the biggest sites.) Probably closest to your use case: this answer, where the illustrations contribute directly to the answer.
Having pictures instead of text would be another matter — it's unavoidable on Stack Exchange when you want to draw diagrams, but keep in mind that text in pictures is not searchable and is not accessible to blind people.
Whatever you do, make sure that the answer will still be there in a few years time. This means: use only resources that are hosted by Stack Exchange (or on behalf of SE). Stack Exchange has a contract with Imgur. If you upload an image through the editor tool (“Image” icon or Ctrl+G shortcut), it's uploaded to
i.stack.imgur.com, not to the regular Imgur servers. Images on Stack Exchange's Imgur server never expire, unlike regular Imgur images which have been known to expire even when their author hadn't configured them to expire. It's even possible that Stack Exchange may one day forbid inline images that aren't hosted on this server.
If you feel that the images are taking too much space, then you can link to them. Use the regular upload tool, then change the
! link to