The first step is to remove the ribbon from the bouquet. You can either cut it off or untie it. I tend to save all sorts of ribbon so I untied mine. This will reveal all the stems and wires of succulents and flowers.
With this bouquet, most of the flowers were under the first layer of floral tape. Remove any flower stems that aren't succulents. You can throw these away or save them if you can find a use for them.
Continue to cut off floral tape and separate the floral stems from the succulents wires. You should be left with a collection of succulents attached to wires.
The best way to remove the wires from the succulents was to pull back the floral tape and clip the wire near the top. Leave enough wire that you can then pull out the pieces. Do this for each of the succulents so you are left with just the succulent cuttings.
To encourage the succulents to put off roots and grow healthy and beautiful, pull off any dead leaves around the bottom of the succulent. Removing these leaves helps to prevent rot later on.