Do you have children? Do you have common debt (credit cards, lease, mortgage)? These issues and several others will determine the cost of a non-contested divorce. If you don't have children or joint debt, you should be able have a low cost divorce. Interview divorce attorneys in your county. If you cannot find a local attorney and need representation, call to schedule an appointment.
That is always a difficult question to answer because inevitably there is something that the couple has not thought of. However, if there are no children and no dispute over how the debt and assets are going to be divided , then you should be able to accomplish the divorce for less than $2000.