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+# project euler 26
+
+# divide a by b, doing one iteration of long division.
+# ? b a
+Div ← ×10-⊸(×⌊⤚÷)
+
+# we will have to perform long division at most 1000
+# times, so just do it 1000 times for all numbers
+# below 1000, pervasively.
+# use the steps to determine cycle lengths.
+
+1000
+⍥⟜⊸Div⟜⊃⇡(↯⊙1) # pervasively repeat long division.
+⊢⊚=⊸/↥≡(⧻◴)⍉   # cycle length is dedup length.