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list1[[#]]list11=list1[[#]]/list1[[;; # - 1]] & /@ Range[2, Length[list1]]
Fro the second question may be this work:
list22 = list2[[;; # - 1]] & /@ Range[2, Length[list2]] MapThread[Append, #] & /@ Transpose[{list22, list11}]
list1[[#]]/list1[[;; # - 1]] & /@ Range[2, Length[list1]]
list11=list1[[#]]/list1[[;; # - 1]] & /@ Range[2, Length[list1]]
