One of the more annoying things about mounting remote shares is not having write access to them as your normal user. Su-ing to root to move or copy files becomes obtrusive. The following information shows how to mount a remote share as your normal user. This gives your account read/write permissions to the share.
Edit your /etc/fstab entry for your remote share to look like this. In this example I'm using an samba share. The text in red should be changed to your specific information.
//some-server/remote-share /home/user/mountlocation smbfs noauto,rw,username=username,workgroup=yourdomain,uid=user,gid=user 0 0
You will still be required to mount the share as root. Afterwards your user should be able to write to the share. Using the "user" flag to allow a normal user to mount will not work in conjunction with this method of mounting.