1. At the proper time
   "she was duly apprised of the raise"
   - punctually 
2. In a due, fit, or becoming manner; as it ought to be; properly

See also: due

• high-pitched
• high-potential
• high-power
• high-powered
• high-pressure
• high-priced
• high-principled
• high-protein diet
• high-ranking
• high-resolution
• high-rise
• high-risk
• high-sounding
• high-speed
• high-speed steel
• high-spirited
• high-spiritedness
• high-stepped
• high-stepping
• high-strength brass
• high-strung
• high-sudsing
• high-tech
• high-tension
• high-ticket