“God remembered” didn’t mean that God forgot. It meant that God was faithful to His promise.
Genesis 6:18 “But I will establish my covenant with you” (WEB).
The New Testament looks back on the flood and compares Noah being saved to what happens to us because of our salvation. The water of our baptism is a symbol of the cleansing that happens to us when we believe in Christ.
1 Peter 3:20-21 “In it, few, that is, eight souls, were saved through water. This is a symbol of baptism, which now saves you—not the putting away of the filth of the flesh, but the answer of a good conscience towards God—through the resurrection of Jesus Christ” (WEB).
Thought for the day: Isn’t it amazing what God has done for us?
Titus 3:5 “But when the kindness of God our Savior and his love towards mankind appeared, not by works of righteousness which we did ourselves, but according to his mercy, he saved us through the washing of regeneration and renewing by the Holy Spirit” (WEB).
Pastor Billington's Blog 
Amen, God is faithful to keep his promises.