The steps to display pet dogs on the map in Minecraft are:
1. Obtain a map: Create or obtain a map in the game.
2. Give the pet dog a name tag: Use iron ore and an enchantment table to make a discus, and then combine it with a blank map (not drawn) in the workbench.
3. Use a named map: Hold the named map and right-click on your pet dog.
4. View the map: Hold the map in your hand, right-click or throw the map to view it. You should be able to see a small dot or icon on the map identifying your dog's location.