Did Jesus fulfill the Law?

If so, how did Jesus fulfill the Law? Romans 8:4 says Jesus fulfilled the righteous requirement of the Law by becoming a sin offering for us. Not only did He live a perfect life, according to the true spirit of the Law, but the entire Law pointed to His death on the cross as both the fulfillment of the old covenant, and the beginning of the new covenant (Matthew 5:17; Romans 8:4; 10:4). Still, this does not mean the Law itself is dead or gone (Matthew 5:18). It is simply fulfilled. Consider this: The Law is not dead, but we believers have died to the Law. Big difference!