You have two options here:
Install a copy of FileMaker Pro (no need for advanced except for users that will actually design the database) on every client machine or use web publishing (either custom web publishing or instant web publishing ) with FileMaker Server (custom), FileMaker Server Advanced (Instant) or a hosting service that does this for you.
Putting a FileMaker database file on a shared drive is dangerous. Two or more users attempting to open the file at the same time can corrupt the file. The file should be placed on an Unshared drive and a copy of FileMaker or FileMaker Server installed on this same machine should be used to open and host the file for others to access it.