I differ a bit my opinion here,
Marriage can be registered by hiding the fact of previous marriage as there won't be any Investigation is made for this situation.
BUT There is no point hiding the fact of previous marriage while filling up the marriage registeration form.
To Avoid problems which may come up later on. i.e US Immegration, Passport Renewal etc., One should not hide details of previous marriage.
Further, The details of your status "divorced" is not going to be shown on your Marriage Certificate.
So it would be lawful and good to write truth while filling up the form of marriage registration.