Since a picture is worth a thousand words...Here's an ugly ASCII view of distributed computing...
[ Client ]
+
|
+-------|--------+
| |
[ Client ]-----+ Central +--------------+[ Client ]
| Computer |
[ Client ]-+ +------+[ Client ]
+------|---------+
|
+
[ Client ]
Each client is in direct communication (be it messages, packets, data) over the wire/wireless/LAN/WAN communicating to the central computer. The central computer than performs the processing (For brevity of the ASCII art, I did not draw a database or anything like that) and a distributed Central Computer in that model could be interacting with the database in real-time or interacting with the hardware, again in real-time and feed the results to each of the clients.
A good example of a distributed computing model in simplistic, abstract terms is a web server such as IIS, Apache, in which each client is a browser, and you there would be n clients interacting with that web server, where n is the quantified number of computers connected up solely to view the web pages that the web server feeds out to each client.
Hope this helps,
Best regards,
Tom.