Dreaming about dragging a co-worker who has fallen downstairs can symbolize feelings of responsibility, stress, or concern about your work environment. Here are a few interpretations:

1. Responsibility: You may feel a sense of duty to help those around you, especially in a work context. The act of dragging someone could represent your efforts to support a colleague who is struggling.
2. Fear of Failure: Stairs often represent progression, whether upward or downward. If your co-worker is falling, it might reflect your fears about your own career path or worries about others' performance impacting your own.
3. Conflict: This dream may point to underlying tensions or conflicts with this co-worker or in your workplace. The act of dragging could indicate that you feel burdened by someone else's issues or behavior.
4. Help vs. Hindrance: Consider whether you feel like you are helping your co-worker or if this action feels more like a hindrance. This could reflect your feelings about your willingness to assist others versus feeling overwhelmed by their problems.

Reflect on your current work situation and relationships. It might be helpful to address any unresolved issues or feelings regarding your colleagues.