Well first you must find a dropshipper and Setup an account with them.
You should research thier products with the average selling products on ebay and find items you think you can turn a profit on.
Then you list the item on ebay and put as good of a description as you can on it. Then if the item sells and the buyer has paid for your item.
You buy the item from the dropshipper and set the ship to address as the buyers address.
Just make sure you can turn a decent profit on the item. If your selling a laptop 20 bucks more then you can get it for, your gonna loose 50 bucks after the sale is complete. As ebays closing fees on the item will be much higher then your profit.