I have been contemplating the age of our observable universe and I was unsure as to how we could tell the age by only divdeing the distance by the constent with out knowing how long the light has been here. Wouldn't that only tell us the minimum of elapsed time.
The age of the universe is not measured to be the radius of the observable universe divided by the speed of light. In fact, the observable universe is much, much larger than this. The age of the universe is measured by using certain cosmological models (usually the $\Lambda$CDM model) and reconstructing the time of the Big Bang from observed values of the known densities of different types of matter.