AMC 8 2018 Problem 3

Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a 7 as a digit (such as 47) or is a multiple of 7 that person leaves the circle and the counting continues. Who is the last one present in the circle? $\textbf{(A) } \text{Arn} \textbf{(B) }\text{Bob} \textbf{(C) }\text{Cyd} \textbf{(D) }\text{Dan} \textbf{(E) }\text{Eve}$