Honorably means with honor and integrity.
When we talk about doing something honorably, we usually mean that someone did it the right way, without cheating or cutting corners. For example, a soldier who served their country honorably has shown bravery and loyalty throughout their service. If someone wins an award for their work, they might say they were honored with the award because of all the hard work they put in, and that it was given to them honorably, meaning without any scandals or controversy surrounding how it was chosen.
As a verb, "to honor" can also mean to pay respect or tribute to someone. For example, if a town names a street after a famous historical figure, we might say the town is honoring their legacy.
US standard spelling of honourably.
