61 13... Removing and installing/replacing relay carrier/fuse box (in engine compartment on bulkhead)

Unlock catch (1) and remove relay carrier/fuse box (2) in direction of arrow from bulkhead (3).

Fig 1: Removing Relay Carrier/Fuse Box

Courtesy of BMW OF NORTH AMERICA, INC.

Unlock catches (1) and open cover (2) in direction of arrow.

Fig 2: Opening Cover

Courtesy of BMW OF NORTH AMERICA, INC.

Detach DME relay (1) from relay receptacle (3).

Unlock catch (2) and remove relay receptacle (3) with wiring harness (4) in upward direction.

W16: 

Remove DDE relay and associated relay receptacle.

Remove fuses and fuse carrier.

Fig 3: Identifying DME Relay, Relay Receptacle And Wiring Harness

Courtesy of BMW OF NORTH AMERICA, INC.