Bible Chapters were apparently introduced in the early 1200s by Stephen Langton, Archbishop of Canterbury. (NT verses came later when Robert Etienne (Robertus Stephanus) translated the Bible into French. The Hebrew verse divisions were made by the Massoretes).
Sometimes these divisions are unfortunate and even where they are not can obscure truths. It is important, therefore, for the Bible interpreter to ignore them to some extent.
Here are some examples of where things may be missed otherwise.
1. Genesis 1, 2
31 God saw all that he had made, and it was very good. And there was evening, and there was morning - the sixth day. 1 Thus the heavens and the earth were completed in all their vast array. 2 By the seventh day God had finished the work he had been doing; so on the seventh day he rested from all his work. 3 Then God blessed the seventh day and made it holy, because on it he rested from all the work of creating that he had done.
2. Exodus 10, 11
27 But the Lord hardened Pharaoh’s heart, and he was not willing to let them go. 28 Pharaoh said to Moses, “Get out of my sight! Make sure you do not appear before me again! The day you see my face you will die.” 29 “Just as you say,” Moses replied. “I will never appear before you again.” 1 Now the Lord had said to Moses, “I will bring one more plague on Pharaoh and on Egypt. After that, he will let you go from here, and when he does, he will drive you out completely. 2 Tell the people that men and women alike are to ask their neighbours for articles of silver and gold.” 3 (The Lord made the Egyptians favourably disposed toward the people, and Moses himself was highly regarded in Egypt by Pharaoh’s officials and by the people.) 4 So Moses said, “This is what the Lord says: ‘About midnight I will go throughout Egypt. ...
3. Joshua 5, 6
13 Now when Joshua was near Jericho, he looked up and saw a man standing in front of him with a drawn sword in his hand. Joshua went up to him and asked, "Are you for us or for our enemies?" 14 "Neither," he replied, "but as commander of the army of the LORD I have now come." Then Joshua fell facedown to the ground in reverence, and asked him, "What message does my Lord have for his servant?" 15 The commander of the LORD's army replied, "Take off your sandals, for the place where you are standing is holy." And Joshua did so. 1 Now the gates of Jericho were securely barred because of the Israelites. No one went out and no one came in. Then the LORD said to Joshua, "See, I have delivered Jericho into your hands, along with its king and its fighting men. ...
4. Isaiah 52, 53
13 See, my servant will act wisely; he will be raised and lifted up and highly exalted. 14 Just as there were many who were appalled at him - his appearance was so disfigured beyond that of any human being and his form marred beyond human likeness - 15 so he will sprinkle many nations, and kings will shut their mouths because of him. For what they were not told, they will see, and what they have not heard, they will understand. 1 Who has believed our message and to whom has the arm of the LORD been revealed? 2 He grew up before him like a tender shoot, and like a root out of dry ground. He had no beauty or majesty to attract us to him, nothing in his appearance that we should desire him. ...
5. Matthew 9,10
35 Jesus went through all the towns and villages, teaching in their synagogues, proclaiming the good news of the kingdom and healing every disease and sickness. 36 When he saw the crowds, he had compassion on them, because they were harassed and helpless, like sheep without a shepherd. 37 Then he said to his disciples, "The harvest is plentiful but the workers are few. 38 Ask the Lord of the harvest, therefore, to send out workers into his harvest field." 1 Jesus called his twelve disciples to him and gave them authority to drive out impure spirits and to heal every disease and sickness. These are the names of the twelve apostles: ...
6. John 2, 3
23 Now while he was in Jerusalem at the Passover Festival, many people saw the signs he was performing and believed in his name. 24 But Jesus would not entrust himself to them, for he knew all people. 25 He did not need any testimony about mankind, for he knew what was in each person. 1 Now there was a Pharisee, a man named Nicodemus who was a member of the Jewish ruling council. 2 He came to Jesus at night and said, “Rabbi, we know that you are a teacher who has come from God. For no one could perform the signs you are doing if God were not with him.” ...
(Nicodemus is either an example or an exception of this seeing signs and believing)
7. Romans 11, 12
33 Oh, the depth of the riches of the wisdom and knowledge of God!
How unsearchable his judgements,
and his paths beyond tracing out!
34 “Who has known the mind of the Lord?
Or who has been his counsellor?” 35 “Who has ever given to God,
that God should repay them?” 36 For from him and through him and for him are all things. To him be the glory forever! Amen. 1 Therefore, I urge you, brothers and sisters, in view of God’s mercy, to offer your bodies as a living sacrifice, holy and pleasing to God -this is your true and proper worship. 2 Do not conform to the pattern of this world, but be transformed by the renewing of your mind. Then you will be able to test and approve what God’s will is - his good, pleasing and perfect will. ...
8. Romans 14, 15
22 So whatever you believe about these things keep between yourself and God. Blessed is the one who does not condemn himself by what he approves. 23 But whoever has doubts is condemned if they eat, because their eating is not from faith; and everything that does not come from faith is sin. 1 We who are strong ought to bear with the failings of the weak and not to please ourselves. 2 Each of us should please our neighbours for their good, to build them up. 3 For even Christ did not please himself but, as it is written: ...
9. 2 Corinthians 6, 7
11 We have spoken freely to you, Corinthians, and opened wide our hearts to you. 12 We are not withholding our affection from you, but you are withholding yours from us. 13 As a fair exchange--I speak as to my children--open wide your hearts also. 14 Do not be yoked together with unbelievers. For what do righteousness and wickedness have in common? Or what fellowship can light have with darkness? 15 What harmony is there between Christ and Belial? Or what does a believer have in common with an unbeliever? 16 What agreement is there between the temple of God and idols? For we are the temple of the living God. As God has said: "I will live with them and walk among them, and I will be their God, and they will be my people." 17 Therefore, "Come out from them and be separate, says the Lord. Touch no unclean thing, and I will receive you." 18 And, "I will be a Father to you, and you will be my sons and daughters, says the Lord Almighty." 1 Therefore, since we have these promises, dear friends, let us purify ourselves from everything that contaminates body and spirit, perfecting holiness out of reverence for God.
10. 2 Timothy 3, 4
16 All Scripture is God-breathed and is useful for teaching, rebuking, correcting and training in righteousness, 17 so that the servant of God may be thoroughly equipped for every good work. 1 In the presence of God and of Christ Jesus, who will judge the living and the dead, and in view of his appearing and his kingdom, I give you this charge: 2 Preach the word; be prepared in season and out of season; correct, rebuke and encourage - with great patience and careful instruction.