When Naruto discovers Jiraiya's death in fanfiction, it's a moment of pure shock. He may immediately recall all the lessons Jiraiya taught him, from the Rasengan to the importance of never giving up. This news could fuel his determination to become stronger, not just for himself but also to avenge Jiraiya. He might also have flashbacks of their adventures together, which only intensifies his pain.
Another great piece is 'Naruto: Early Days with Jiraiya'. This fanfiction goes into great detail about the environment when Jiraiya finds Naruto. It not only shows their first meeting but also the reactions of the villagers around them. It then progresses to show how Jiraiya starts to influence Naruto's way of thinking and his training regime, making it a very engaging read.
Archive of Our Own (AO3) also might have some 'jiraiya finds naruto early' fanfiction. It has a well - organized tagging system. You can search for Naruto - related tags and then look for ones specifically related to this scenario. Some authors prefer to post their work on AO3, so it's worth checking out.
In some fanfictions, Naruto is completely devastated. He might go into a state of shock at first, unable to believe the news. Then he could be filled with intense grief and anger, blaming himself for not being there to protect Jiraiya.
In many fanfictions, Naruto is initially in a state of shock. He can't believe that Jiraiya, his mentor, is gone. He might go into a period of deep sadness and isolation, withdrawing from others as he tries to process the loss.
Jiraiya might comfort Naruto by sharing his own experiences. He could tell Naruto about the times he faced difficulties and how he overcame them. For example, he might talk about his training with the toads and how he grew stronger through perseverance.
Perhaps in this fanfiction, Jiraiya discovers that Naruto is going to be the cause of a major catastrophe in the future. He might have seen a prophecy or some sort of sign that convinces him Naruto has to die to prevent this. It could also be that Jiraiya has been misled by false information about Naruto, which makes him think that Naruto has become an evil force that needs to be eliminated.
One possible reason could be that Naruto feels he has learned all he can from Jiraiya at that point. Maybe he has reached a level in his training where he believes he needs new experiences and challenges that Jiraiya can no longer provide.
Well, in a way it depends on the context of the fanfiction. If the writer decides to give Naruto some sort of super - powered boost or if Jiraiya is weakened in some way. For example, if Naruto has some unique power - up that allows him to counter Jiraiya's toad - related jutsus easily. But Jiraiya is a very experienced and powerful shinobi too, so it's not a straightforward win for Naruto without some plot devices.
One great Jiraiya and Naruto fanfiction is 'The Mentor's Legacy'. It delves deep into how Naruto continues to uphold Jiraiya's teachings long after his death. It shows Naruto using the skills and wisdom passed down by Jiraiya in his battles and in his leadership of the village. Another interesting one is 'Jiraiya's Unfinished Business'. In this story, Naruto discovers some of Jiraiya's hidden notes and secrets that he left behind, which leads him on a new adventure to complete what Jiraiya started.