If you need to make change to a story, whether it's a typo or a key update to a report, you can simply make that change to your story within the Shorthand editor. Then, you'll need to republish the story. 

Here are a couple of tips on republishing for each publishing method.

Shorthand Hosting 
Simply click republish and push the changes live to the URL.
.Zip exports
Re-generate the .Zip files, download and re-upload to your servers as before.
1-click hosting via Amazon S3 or SFTP
Simply click republish in the Shorthand editor to push the changes live. 
Drupal or Wordpress plugins Re-click ready for CMS in the Shorthand editor, then also go into your CMS and click re-publish to make the changes live.