Here's how the White House pool report recounted the scene:
Both the president and Congressman [Gary] Peters stood in front of a large display case filled with salads, meats, desserts and other goodies. Both men ordered Reuben sandwiches (apparently a specialty) and iced teas, while POTUS also got a side of "Che Che spin" salad.
The Zingerman reuben is indeed a specialty. And this is what it looks like.
"I stopped for two reasons. The first is, the reuben is killer. So I ordered like the small, and it didn't look that small. So I gave half to Valerie Jarrett who's traveling with us. And then after I finished the half, I wanted the halfback. But it was too late. All she had left was the pickle. So I took the pickle."
The lesson? Never share.