We are in the process of moving our network shares to Office 365/SharePoint. I've created O365 Team for each dept which will have the documents specific to that dept. Team doc libraries will be sync'd to each team member's desktop using OneDrive. however, we have one network share that is accessed by all of our functional groups. I'm not sure the best way to do that in O365.
These shared files need to be easily accessible online as well , via the portal and teams App.