Lets take an example of how science and spirituality will deal with a situation and then proceed to understand the differences or similarities between them, if any.
Let us for our example study 'Hunger' as the subject.
Science, tries to understand how hunger pangs develop, how our body and mind is able to know hunger, what physical changes happen within our stomach and what communication takes place through our nerves. That's science for us.
Whereas spirituality tells us to experience hunger once.