Answer:
Assuming 'engineering' is the name of the division in the 'dname' field of Division table, the query would look like this:
SELECT COUNT(DISTINCT p.PID)
FROM Project p
JOIN Division d ON p.DID = d.DID
JOIN Workon w ON p.PID = w.PID
JOIN Employee e ON w.EmpID = e.empID
WHERE d.dname = 'engineering';
This query operates by joining the necessary tables together and counting the distinct number of project IDs (PID) associated with the 'engineering' division.