Break your fridge in into sections. If it is a regular fridge, top section and bottom section. If it is a double door, top left, top right, bottom left, bottom right.
Use hot soapy water or Just Another Natural Nut Shine (spray on cloth), and going with the grain, put pressure on the wet cloth as you wipe up and down from left to right in section one. Take a dry cloth and start buffing, going with the grain as you did with the wet cloth. Repeat in the next section/sections
If there has been no product used prior everything should be shiny and smear free.
If you notice smudging in areas, take a damp clean cloth and spray Just Another Natural Nut Polish Going with the grain, rub the oil into the stainless and then with a dry cloth buff dry until the area shines. Repeat in the next section/sections
The Polish works well with the residue build-up of the conventional cleaner and is a fix until the residue is gone for good
After a while (depending on the amount of build-up) you will find you no longer need to use the Polish, only using the hot soapy water or Shine.