1. in a way that shows integrity, honesty, and respect for moral principles
Usage: British spelling of 'honorably'
2. in a way that brings credit or distinction; with distinction or acclaim
Usage: British spelling of 'honorably'

Examples

• She conducted herself honourably throughout the scandal.
• He served honourably in the military for thirty years.
• The company acted honourably by compensating all affected customers.
• They honourably discharged their duties despite the difficult circumstances.
• He was honourably mentioned in the report for his contributions.
• She chose to resign honourably rather than compromise her principles.