Accounting Outsourcing works in many ways. If you are in need of an accountant, you can hire one through AccountOut.com or another similar company. You will not have to hire the individual and will save on the overhead costs you might incur otherwise. The accountant will work remotely or from your location if that is needed.
A bookkeeper has limited knowledge of accounting practices. Their job is simply to keep an accurate record of the company books. The accountant will know how to produce reports with the data that they have and will be knowledgeable about higher level finance formulas making them much more skilled.