Going on a diet doesn't mean you starve yourself until you're fit. It means that minimizing the foods than what you used to eat.
Skipping of meals is not advisable especially breakfast.
Breakfast is the most important meal of the day. It provides your body and brain the fuel after an overnight fast, hence the name came from break the fast.
When you're on a diet there are still alternatives on what you are supposed to eat during breakfast.
These foods are eggs, fish, breads (you can add spreads but only a little amount), yogurt, low fat milk, oatmeal and fruits especially apples and bananas.
You can also eat foods that are rich in protein such as meats but fats should be omitted, tofu and beans.
Also, drinking 8-10 glasses of water is highly encourage for it can control the calories and add more nourishments to our bodies.