Pete: Hello, Mr. Hill!
David: Hello, Pete! It is so good to see you! Thank you for meeting me.
Pete: I am very glad to see you too. Can I introduce my friend and colleague Nick?
David: How do you do, Nick?
Nick: How do you do, David? I'm glad to meet you.
And they shake hands. In Britain most people shake hands when they meet someone for the first time. It is not usual to shake hands when you say good-bye or when you meet again later.
Pete: Follow me please, David. Watch the step! Our car is in the parking area.