You can remember this by knowing that the "centi-" prefix means 100 (technically, 100ths). Just like you probably already know 100 cents in a dollar (USD) or 100 years in a century. Even the "cent" in percent means per hundred. There are 100 centimeters in a meter. A centimeter is about as wide as your little finger. A meter is close to a yard.
Solution: In order to convert centimeters to meters we need to divide the amount of centimeters by 100 since there are 100 centimeters in one meter. After doing 108/100 we get 1.08 meters.