Tim is doing a cakewalk with $11$ steps. He takes his first step on step $1$ and takes a total of $139$ steps, walking in a circle (so that after the 11th step he reaches the first step again). Which step of the cakewalk does he end on?
I need to find out how many times Tim completes a full circle of $11$ steps, and how many extra steps he takes after that. One way to do that is to divide $139$ by $11$ and look at the quotient and the remainder. If I divide $139$ by $11$ using long division, I get $12$ with a remainder of $7$. That means Tim completes $12$ full circles and then takes $7$ more steps. To find out which step he ends on, I can start from step $1$ and count $7$ steps forward. So Tim ends on step $7$ of the cakewalk. 