“One of the servants answered, “I have seen a son of Jesse of Bethlehem who knows how to play the harp. He is a brave man and a warrior. He speaks well and is a fine-looking man. And the LORD is with him.” 
Then Saul sent messengers to Jesse and said, “Send me your son David, who is with the sheep.” So Jesse took a donkey loaded with bread, a skin of wine and a young goat and sent them with his son David to Saul.”
(1Sam 16:18-20 NIV)
So all the sons of Jesse have just walked in front of Samuel, from the oldest to the youngest, and after each one, God tells Samuel, “No, I have REJECTED this one.” until the 8th son, the youngest of them all, comes in.
He gets anointed there around the table with his brothers watching, and the Spirit of the Lord comes upon him, and then they go on about their business. 
At some unspecified time later, the KING calls for David. Now what in the world would Jesse & sons be thinking about this? They haven’t made public what happened, because a riot or uprising or civil war might start. It would be hard no matter what. They keep it quiet, and at some point later, seemingly out of nowhere, the KING sends for David, to work and serve in his court.
I guess after this anointing business, they sent David back to be with the sheep! That’s where he is when Saul calls him. What would you think if you were David. Called in from the sheep. ANOINTED AS KING OVER ALL OF ISRAEL. Sent back out to work with the sheep.¬†
I would love to figure out what the timeline was on this. That gives me a lot of peace about wondering which job I’ll do next. I hear people say a lot ‚ÄúThis is a great job, but it’s not what I’m going to do for the rest of my life.‚Äù Of course it isn’t, but it might be the good thing to do for the next 2, 10, or 20 years.¬†
Speaking of time, I’ve run out. Maybe tomorrow morning I can figure out some timeline stuff.¬†