Meditation is something that is intimidating for many Christians. I think it's because it has become associated with Eastern religions, such as Buddhism, in our modern culture and that makes Christians believe that it is not for them. Yet, the Bible is clear when it calls us to meditate on God's Word throughout our day. It is the call of passages such as Deuteronomy 6 and Psalm 19:14. God's call to meditate is not empty your mind of every thought, but to fill it with the truth of God's Word and to consider these truths throughout the day.
So, how do you meditate on the Word of God? Simply put, you think about what you've read all during the day. I'm sure there are a dozen things on your "to do" list in a given day and you certainly cannot give all of your time to reading or even thinking about Scripture. However, there are times when you're mind goes to neutral. We all reflect on something throughout the day. Whether it's the great play on SportsCenter, or the upcoming shopping trip or vacation...there is something that comes back to your mind when you go to neutral. Reading and thinking about a Scripture passage early in the day will give you the opportunity to continue thinking (meditating) on it throughout the remainder of the day.
Here's an article from Dr. Donald Whitney at the Center for Biblical Spirituality that will help you think more about meditating on God's Word throughout your day.