We have investigated step structures during molecular beam epitaxial (MBE) growth of GaAs and AlGaAs films on vicinal GaAs(110) surfaces inclined at 6-degrees toward (111)B using reflection high-energy electron diffraction. We find that during AlGaAs growth at temperatures above 630-degrees-C, the surfaces contain regular arrays of steps with double-layer height. At temperatures below 610-degrees-C, the surface breaks up into two types of regions: one consisting of wide (110) facets without steps, the other consisting of arrays of steps with a high step density. During GaAs growth at temperatures above 580-degrees-C, all the surfaces contain well-ordered arrays of steps with double-layer height. Based on the results, we discuss the formation mechanism of the quantum well wire-like structures reported previously.