The following is a revision to my answer in light of the following comment you gave me:
As you mentioned I am "putting" it to rest on the floor and NOT dropping it. The change in energy when dropping is clearer as the bottle keeps bouncing and losing energy as sound, friction and such
Thanks for the clarification. I will now focus on your following specific question, coming at it a little differently:
“where does the energy go when I place an object from a height on the floor”.
When you ask where the energy goes, there are two types of energy in this example: kinetic energy and gravitational potential energy. Let’s account for each.
Let’s consider first kinetic energy.
You take an object that is initially at rest (zero kinetic energy) at a certain height, say the height of the surface of a table above the floor. In order to bring it down the object needs to “get moving”. That means the object needs to initially acquire kinetic energy. In order for this to happen your upward force on the object has to be less than the downward force of gravity. There is then a net downward force and gravity does positive work on the object to give the object kinetic energy.
As the object approaches the ground you now need to exert an upward force greater than the downward force of gravity in order to decelerate the object (slow it down). You are doing negative work on the object (your upward force is in the opposite direction to the displacement of the object) taking kinetic energy away from the object and transferring it to yourself. You can also look at it as the object doing positive work on you transferring energy from itself to you.
The question of exactly how you absorb that kinetic energy is a physiological one that I am not qualified to answer. My guess is the work the object does on our muscles results in various forms of friction, raising tissue temperature and eventually being dissipated as heat.
Bottom line: The positive change in kinetic energy due to the positive work that gravity did on the object at the beginning equals the negative change in kinetic energy due to the negative work you did on the object to bring the object to rest. The fact that the object had kinetic energy between the start and stop is irrelevant because the overall net change in kinetic energy is zero. Kinetic energy is therefore accounted for.
Now let’s consider gravitational potential energy.
Since there is no net change in kinetic energy of the object, gravity does positive work on the object at the expense of the gravitational potential energy of the object/earth system, while at the same time you are doing an equal amount of negative work on the object transferring the energy gravity gave it to yourself. The net work done on the object is zero, but the gravitational potential energy of the object/earth system has been transferred to you.
Note that the reverse happens if you take an object at rest on the ground and place it at rest on the surface of the table. In this case, you do positive work on the object, transferring energy from you to the object, while at the same time gravity does an equal amount of negative work, transferring the energy you gave the object to the gravitational potential energy of the object/earth system. The net work done on the object is zero (no change in kinetic energy), but the external work you did on the object/earth system has increased the gravitational potential energy of the object/earth system.
I hope this different way of explaining what is going on will help you. The following link will perhaps further enhance this explanation.