See in simple words : Dataware --> Huge data using for Analytical/storage/ copy and Analysis . Database --> CRUD operation with Frequently used data .
Dataware house is Kind of storage which u are not using on daily basis & Database is something which your dealing frequently .
Eg. If we are asking statement of bank then it gives us for last 3/4/6/more months bcoz it is in database. If you want more than that it stores on Dataware house.