The Industrial Grill has no special requirements for its placement other than the fact it is two wall tiles high and two wall tiles long. With these requirements met it can be placed pretty much anywhere.
Using it is also quite simple. Fill it with food and put in Gasoline. This will give you a 'Turn On' button. Give that a click and the cooking will start. The Industrial Grill will cook 13 peices of raw food at a time, and it seems it will always cook Raw Prime Meat and Raw Prime Fish Meat first.
Keep in mind that the Industrial Grill will keep running and burning Fuel until you turn it off.