Plan the route you will take for your vent installation. Note that since 90-degree elbows have a tendency to trap gases, most jurisdictions will not allow them. Plan your route accordingly, using 45-degree elbows instead. The best route is the one that follows the shortest path to the roof.
Put on safety glasses and a respirator.
Cut the holes required to go through the walls and ceiling, using a drill and hole saw. Push the draft vent over the opening on the top of the furnace. Install the first section of pipe to the draft vent. Continue adding sections of pipe by pushing one onto the next. Add elbows as necessary to complete the entire route.
Place a fire stop on each side of the wall or ceiling that the vent pipe will pass through. Do not eliminate this step because it is important for safety. Cut a hole through the roof using a drill and hole saw. Place a fire stop in the opening and place an insulation shield on the fire stop. Install the pipe through the roof. Install metal flashing, as well as a collar, around the pipe where it exits the house. Cut the flashing as necessary to go around the opening of the roof, using the tin snips.
Install a cap on the vent outside to keep birds and small animals from getting in. Install pipe strap at various locations throughout the vent route to secure the pipe, using drywall screws, drill and a screwdriver bit. Install the pipe strap every 24 inches to make it secure.