There are a few quick shortcuts for managing your files and folders in Google Drive.
You can change where your document is stored without ever leaving the document – look for the folder icon to the right of the document name:
By then clicking on Organise you will open a new dialog that lets you move the document into any new folder (or folders) of your choosing:
A drop down menu at the top of each Drive folder allows you to carry out various tasks such as rename, share and otherwise organise your stuff (don’t forget about colouring your folders, as described in this post):
Just below this menu appears a breadcrumb trail to the whole folder hierarchy, so you can navigate with just a click. You can also see who has access to a shared folder as their profile picture appears in the header: