First, you will need to invest money on the wheel. This is done by tapping the bottom of the screen when it is your turn on the area that says "Tap or spin to play." Once the menu pops up, tap "Invest." This will allow you to spend $10,000 to purchase the rights to a number on the wheel. Anytime another player spins and lands on the number you purchased, you will get $5,000. You need other players to land on your number 5 times total throughout the game.
This achievement is most easily attempted in 4-player multiplayer. Just purchase one number with each player. With four people, you are almost certain to get this achievement rather quickly. Just keep spinning until the same invested number pays out 5 times.