To unpublish an item:
Change your flag to the correct market
Select the item in the content editor
Click on the Publish tab and select 'Change'
4. Under the 'Versions' tab, untick any version you want made unpublishable and select ok
This can be applied to a single module on a page or a whole page
5. A yellow warning message will appear telling you that if you publish now, no version will appear on the website.
6. Publish as normal to your market language to have this change come into effect
To unpublish an item across all markets, follow steps 1-3 above and then:
Select the 'Item' tab and untick the publishable checkbox before pressing ok
2. A yellow warning message will appear telling you that the item will never be published and this will appear across all market versions.
3. Publish as normal to the market language you are working on to have this change come into effect across all markets.
You can then delete an item from the content tree once it's been unpublished following the steps above, and the changes published to both staging and internet