Method for removing flux residue and defluxing residue from an article using a dense processing fluid and a dense rinse fluid is disclosed herein. In one embodiment, there is provided a method comprising: introducing the article comprising contaminants into a processing chamber; contacting the article with a dense processing fluid comprising a dense fluid, at least one processing agent, and optionally a cosolvent to provide a partially treated article; and contacting the partially treated article with a dense rinse fluid comprising the dense fluid and optionally the cosolvent to provide a treated article wherein an agitation source is introducing during at least a portion of the first and/or the second contacting step.