Installing a dishwasher without a garbage disposal sounds a little daunting, but it isn’t. You will need a few specialized plumbing parts, but otherwise it should be straightforward.
The dishwasher will go into the cabinet the same way the old one came out. Some people don’t like garbage disposals and so they remove them, I personally like them and don’t know why anyone would get rid of one. Anyway, when you remove the disposal, you will need to add a sink strainer and a dishwasher tailpiece. This looks like an ordinary tailpiece except that it has a nipple that sticks out of the side.
This tailpiece nipple takes the place of the nipple on the disposal where the dishwasher drain was connected.
The dishwasher drain will run up to the air gap and then down to the tailpiece nipple. Secure the drain to the nipple with a hose clamp. The water supply connection is the same. Screw the water supply line onto the angle valve until snug after you wrap the threads with Teflon tape.
Shimmy the dishwasher into its final position so that it lines up with the cabinet faces and is centered in the opening. Open the door and secure the dishwasher to the underside of the counter with some short screws. The screws go through the brackets and into the underside of the counter.