Is it permissible, Islamically, to be content with pressing the organ several times to ensure that all urine has been discharged, knowing that a very small amount of urine remains thereafter, and then perform ablution?

The majority of jurists are of the opinion that it is recommended to 'sult' (milk), 'natr' (shake or flick), and press the male organ after urination. They cite the hadith (definition), "When one of you urinates, he should flick his male organ three times," but this hadith is considered weak by agreement among hadith scholars. Sheikh al-Islam Ibn Taymiyyah, on the other hand, held that coughing, walking, inspecting the male organ, shaking it, and 'sulting' the urine are all innovations (bid'ah). He stated that the narrations regarding this are weak and baseless, and that these practices increase whisperings (waswasah). He maintained that urine exits naturally, and once it is done, it stops, and that istijmar (cleaning with stones) is sufficient. The preferred view, however, is the detailed explanation given by Al-Nawawi, which states that this varies among individuals. The purpose is to ensure that nothing remains in the urinary tract, while being careful not to reach the point of waswasah.