I've tried to find other questions covering this, but (surprisingly) I did not find any.
When I want to add a screenshot to a post, as far I know the only way to do it is to save it as a file and then upload the file, using Stack Overflow's image hosting. OK, much better than finding a hosting site yourself, but sometimes I wish I could just paste the image from the clipboard.
It's not as straightforward as it may seem, I know. JIRA has this feature, and it needs a Java applet to get it done.