Remove dead branches closest the ground first. This allows you to position an A-frame ladder close to the tree to help reach branches progressively higher.
Break off dead branch ends, such as the dry, skeletal twigs that dangle and limit access or view of the project. Since the limb is already dead, don't worry about how cleanly the dead twigs break off. Avoid thrashing the dead limb into nearby alive, healthy limbs to prevent breakage on them.
Select the right pruning tool for the branch diameter. If the branch is less than 3/4-inch in diameter, hand pruners suffice, but if it is between 3/4-inch and 2 inches, use loppers. Large branches call for a hand-held pruning saw or even a power chain saw. The use of the chain saw adds more danger and need for safety and better support equipment to get the job done.
Grasp the dead branch with your non-cutting hand for support while you prune into the dead wood. Thick leather gloves may add comfort or better grip on branches, especially if small spur stubs remain on the branches. Make the pruning cut on small branches (hand pruners or loppers) 1/2-inch above a branch junction or the main trunk.
Make an initial back cut with a pruning saw on branches larger than 3 inches in diameter. About 12 to 18 inches from the tree trunk, saw about one-quarter of the way into the branch's underside. This cut alleviates the weight onto the branch when you conduct your regular sawing cut, allowing the branch to fall off without shattering or creating jagged ends.
Saw down on the dead branch on the inner side of the under cut, 2 to 3 inches closer the trunk. Grasp the branch with your free hand to stabilize it. Once you cut through at least one-half the diameter of the branch on the top side, push down and break the outer reach of the branch off or continue to saw and have gravity naturally pull the branch down.
Grasp the 12- to 18-inch stub of the branch base remaining on the trunk and place the saw blade 1/2 to 1 inch away from the trunk or the swollen collar next to the trunk. Saw through the stub from the top, making a clean cut to fully remove it.
Set up an A-frame ladder and position it to gain best access to higher dead branches in the Norway spruce. Alternatively, pruning saws often attach to adjustable extension poles to allow the gardener to remain on the ground but still reach high branches to saw against the trunk.