var fileName = "Sample.txt";
var local = Path.Combine(@"C:\Temp", fileName);
var remote = Path.Combine(@"\\remote.machine\d$\", fileName);
File.Copy(local, remote);
@"\\remote.machine\d$\"
should be your remote computer name and shared folder to copy the file to. Of course you will also need to change the file name and local path to match your needs.