An easy way to get a mailbox usage report is via the Get-Mailboxstatistics commandlet in powershell and a combination of other commands. The below script will output a mailbox usage report in HTML format:

 

Get-Mailbox -ResultSize Unlimited | Get-MailboxStatistics | Select DisplayName,
TotalItemSize,ItemCount,Database,LastLogonTime,LastLoggedOnUserAccount | Sort
TotalItemSize -Descending | ConvertTo-Html -Title "Mailbox Stats"|
Out-file "C:\MailboxStats.html"