Peleg was named after the dividing of the earth, and as Nimrod was a contemporary of Salah, this could refer to the dispersal from the tower of Babel. Alternatively, as suggested in Job, the continents were dividing in his day. In either case (or both), the aftershocks of the cataclysm that caused the great flood were striking everywhere - and it was crucial that the rapidly growing clan of survivors not remain in one place.
The Hungarian myth of national origin traces their lineage back to Nimrod (who casts himself on a burning altar after his kingdom is dispersed), and has Nimrod's sons Hunar and Magya and their families actually transported to the far east from Shinar. Whether driven apart by language, or teleported, or both, the people were scattered over the entire earth.
Year of Adam Birth (~Death) 1056 Noah 1558 Shem 1656 ~~~~98~Flood~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 1658 100 Arphaxad 1693 35 Salah 1723 30 Eber 1757 34 Peleg 1787 30 Reu 1819 32 Serug 1849 30 Nahor 1878 29 Terah 1948 70 Nahor Jr / Haran 1996 239 ~Peleg 1997 148 ~Nahor 2006 950 ~Noah 2008 130 Abram (not first born) 2026 239 ~Reu 2049 230 ~Serug 2083 205 ~Terah 2083 75 -Abram leaves Haran (12:4) 2094 86 Ishmael (16:16) 2096 438 ~Arphaxad 2108 100 Isaac 2126 433 ~Salah 2158 600 ~Shem 2168 60 Jacob (25:26) 2168 60 Esau (25:26) 2183 175 ~Abram 2187 464 ~Eber 2208 40 Esau takes gentile brides (26:34) 2231 137 ~Ishmael (25:17) NOTE: adding new data, may not add up below (need a program) 2228 60 -Jacob flees to Laban 2235 67 Reuben 2236 68 Simeon 2237 69 Levi 2238 70 Judah 2240 72 Issachar 2241 73 Zebulun 2242 74 Dinah (?) 2242 74 Joseph (30:25) 2248 80 -Jacob leaves Laban (31:38) 2259 17 -Joseph sold as slave (37:2) 2260 92 Benjamin ? 2272 30 -Joseph prime minister (41:46) 2288 180 ~Isaac 2296 37 -Famine starts 2298 130 -Jacob goes to Egypt (47:28) 2303 44 -Famine ends (45:6) 2315 147 ~Jacob 2352 110 ~Joseph (50:26) 2354 137 ~Levi (Exo 6:16) ... 2568 Exodus (400 years after birth of Jacob/Israel)