Midrash sa 1 Samuel 7:2: Seder Olam Rabbah & Ein Yaakov (Glick Edition)

Eli led Israel for forty years, and the day Eli died, he forsook his tabernacle, as it is said, “He rejected the tent of Joseph” (Psalm 78:67), and “He gave His strength into captivity” (Psalm 78:61). And the Ark of the Lord was in the field of the Philistines for seven months. The Philistines called and said (1 Samuel 6:1-2). The men of Kiriath-Jearim came and took it, and it was from the day the Ark rested (1 Samuel 7:2). Subtract from these seven years the time David reigned in Hebron over Judah, which remained there for thirteen years, and subtract eleven years for Samuel himself and two years for Samuel and Saul. It was from the day the Ark rested (1 Samuel 7:2). At the beginning of these twenty years, the Tabernacle was brought to Nob. Although the Ark of the Lord was in Kiriath-Jearim, in Nob they offered sacrifices for thirteen years and for seven years in Gibeon. At the end of twenty years, David moved the Ark of the Lord from Kiriath-Jearim to the house of Obed-Edom the Gittite, and the Ark of the Lord stayed in the house of Obed-Edom the Gittite for three months (2 Samuel 6:11). From this, we learn that Obed-Edom was blessed only because of the Ark of God.
Saul was one year into his reign (1 Samuel 13:1). Samuel said to Saul at the time of his anointing, “You will go down before me to Gilgal” (1 Samuel 10:8). Saul went down in the first year and struck the Ammonite king, and the Israelites anointed him. In the second year, he went down and did not keep his promise. Samuel said to Saul, “You have acted foolishly; you have not kept the commandment of the Lord” (1 Samuel 13:13). In that chapter, David was anointed, as it is said, “And the Lord said to Samuel, ‘How long will you mourn for Saul?’” (1 Samuel 16:1). Then Samuel took the horn of oil (1 Samuel 16:13), and he was twenty-nine years old. And Saul was hostile towards David (1 Samuel 18:9), and it is said, “The Spirit of the Lord departed from Saul” (1 Samuel 16:14). In that chapter, Nob was destroyed, and they came to Gibeon.
All the days of Samuel the Seer were only fifty-two years. It is also said, “Eli the priest sat on the seat” (1 Samuel 1:9), and she was bitter in soul (1 Samuel 1:10). In that chapter, he was appointed as a judge, and it is said, “And he judged Israel forty years” (1 Samuel 4:18). Thirteen years remained. Subtract one year for the intercalation, eleven years for Samuel, and one year for Saul. Thus, fifty-two years. Samuel died about four months before Saul's death, as it is said, “And the number of days that David stayed in the field of the Philistines was days and four months” (1 Samuel 27:7). And afterward, David inquired of the Lord, saying (1 Samuel 30:8). Ish-bosheth, the son of Saul, was forty years old when he began to reign (2 Samuel 2:10), and he reigned for two years in Jerusalem. The kingdom of Israel was therefore nullified for five and a half years. All the elders of Israel came to King Hebron (2 Samuel 5:3). In that chapter, David was anointed again, being thirty years old at his anointing (2 Samuel 5:4), and he reigned for forty years.

Our Rabbis were taught: The Tabernacle of the wilderness lasted forty years less one year. The Tabernacle of Gilgal lasted fourteen years, of which seven was the years of occupation and seven of distribution. The Tabernacle of Nob lasted fifty-seven years, hence the existence for Shiloh remains three hundred and seventy years, less one year. That the Tabernacle of the wilderness lasted forty years less one year, whence do we infer this? For the master said [elsewhere] that the first year after the exodus did Moses build the Sanctuary, on the second year he reared up the tabernacle and then Moses sent the spies. That the Tabernacle of Gilgal lasted fourteen years, the seven of occupation and the seven of proportioning, whence do we infer this? From Kaleb (Josh. 14, 7) Forty years old was I sent, etc. And, lo, I am this day fourscores and five years old. How old was he at the time of the passing of the Jordan? Seventy-eight years old, and now he says that he is eighty-five years old, hence the seven years of occupation. And whence do we know concerning the seven years of distribution? If you please I say that since the occupation lasted seven, it is understood that the dividing also lasted seven years; and if you please I say [from here] since we cannot find any other way [to justify the passage] (Ez. 40, 1) In the fourteenth year after the city had been smitten. That in Nob and Gibe'on it lasted fifty-seven years whence do we learn? It is written (I Sam. 4 ,18) And it came to pass, when he made mention of the Ark of God, that he fell from off his seat backward by the side of the gate, and his neck broke and he died. And we are taught in a Baraitha that when Eli died the destruction of Shiloh followed, and the sanctuary was brought to Nob; when Samuel died the destruction of Nob followed, when the Tabernacle was brought to Gibe'on, and it is written (Ib. 7, 2) And it came to pass, from the day that the ark abode in Kireath — Jearim, that the time was long; for it was twenty years. To which years do these twenty refer? Ten of Samuel himself [during which he judged Israel]; one year during which Saul and Samuel judged Israel together; two years, during which Saul alone ruled Israel; seven years during which David ruled in Hebron, as it is said (I Kings 2, 11) And the days that David reigned over Israel were forty years; seven years reigned he is Hebron, etc. And again in connection with Solomon it is written (II Chr. 3, 2) And he began to build in the second day of the second month, in the fourth year of his reign. Hence it remained for Shiloh three hundred and seventy years less one year.