Sasuke left Kakashi with his thoughts, he was returning to Tazuna's house when Kushina stopped him. She was hiding near Sasuke and Kakashi's location when they were having the discussion.
KUSHINA: "Hey kid, how do you know so much about white fang's incident. I know about the rumor going around village at that time because I was alive at that time but you were not even born at that time. Even if Danzo spread rumor at that time, there is no way that any paper trail are present related to that. How do you know all this?"
SASUKE: "I know how Danzo operates, he is a coward who hides in the shadows, he will say he does everything for the village but you will never see him risk his own life for village. His most important tool is rumors, he will manipulate things from shadows and get what he wants and say that he is doing this for village. That is exactly what he did to Uchiha clan, he spread rumors, destroyed any chance of reconciliation between village and Uchiha clan and in the end he got what he wanted, Uchiha clan was destroyed.
Same goes with White Fang, he wanted Hokage seat for himself so he destroyed the reputation of white fang through rumors, he may not have wanted white fang's death but that doesn't change the fact that he has hand in pushing White fang to that point.
I think that he believes that whatever is good for him is good for village, if he had the ability, he would have put every ninja of leaf village under root and control them with brainwash and seals."
KUSHINA: "That did not answer my question, how do you know all this? I don't think anyone in the entire village has as much information as you do."
SASUKE: "Who knows, I have my secrets and I am not going to reveal them to anyone."
With that Sasuke left, Kushina was curious but decided to not pursue this, she was already dead so these things do not concern her, she stayed to ensure Naruto's safety other things did not matter to her."
Sasuke met Inari who was waiting for him. Inari asked Sasuke to train him and Sasuke agreed. It took one month time for Tazuna to complete building the bridge. Sasuke manage to open the fourth gate and was very satisfied with his progress, he trained Inari and also helped Naruto in chakra control training from time to time. Naruto manage to learn walk on water in the month time. Sakura also wanted to train, she realized how weak she was when she saw Sasuke and Naruto have their sparring session. She thought she was better than Naruto but when that misunderstanding got cleared she asked Sasuke to train her.
Sasuke told her to be a medical ninja, she was extremely gifted in chakra control so Sasuke taught her basics of medical ninjutsu and recommended a list of books she need to read when she return to the village. He also taught her few genjutsu that do not require a sharingan. He was training Inari to increase his physical strength as well as increase his chakra amount. He opened chakra pathways of Inari on the first day of training, teach him some basic taijutsu. He instructed Inari how to train after he leaves, he told him to do only physical and taijutsu training and exercises to increase chakra amount for one year. He gave him scrolls which contained few chakra control exercises, three ninjutsu of academy, few genjutsu techniques and advance taijutsu. He also gave Inari few ideas about using chakra while making bridge and some other things.
Sakura also joined Inari in physical and taijutsu training but her training standard was on different level. She was carried back by Naruto after training every day, Naruto knew how ruthless Sasuke was about training so he never said anything just carried her back every day. One month passed quickly and team-7 left country of waves, Inari was sad about his sensei leaving but he promised him that he will learn everything left in scroll next time they meet.
Kakashi did not have many things to do, Sasuke took the sensei position and did great job at that. Kakashi thought about Sasuke's words, he didn't want to believe it but there were many things he could not refuse. He also found it weird that Sasuke has so much information but he did not confront him about it. He was thinking of confronting Hokage when he returns to the village but decided to investigate the matter himself first.
Few days later Team-7 reached the leaf village, Kakashi went to give the mission report while Sasuke, Sakura and Naruto went home. Kakashi did not give a detailed report to Hokage, he neither report the part about Sasuke killing Gato, nor he gave report about Sasuke or Naruto's progress. Third Hokage felt that something was wrong with Kakashi but he couldn't put a finger on it.