The Special Studies Series of analytical reports, prepared by demographers in the Population Division, Bureau of the Census, present analyses of statistics and suggest possible implications for public policy. Part of this series, the present report uses data from the June 1982 Current Population Survey and updates a June 1977 Census Bureau study on the child care arangements used by working mothers. Analysis focuses on the current arrangements used by 18- to 44-year-old working mothers of preschool-age children, methods of payment for child care services, and ways the availability of child care arrangements influence the mother's labor-force behavior. Additionally, characteristics of husbands who care for their young children while their wives are at work are profiled. Estimates of the number of women who use multiple child care arrangements and the effects that costs and availability of child care services have on women's attitudes towards employment are also covered in this report. Related materials are appended, including the June 1977 and June 1982 supplemental questionnaires. (RH)