Regarding the issue of dating in Islam, one must first define what is meant by "dating." If it is understood to mean how a man and a woman get to know each other for the purpose of marriage, then there are certain guidelines and established procedures which can be discussed. However, if it is understood to refer to casual relationships between men and women who for the purpose of "fun" or "going out" and the such, then there is no provision for this in Islam. Such a situation is not considered respectful for neither the man nor the woman, nor is it constructive for the concept or the building of the family or society or social responsibility. Opening the door to relationships of love and infatuation and passion and pre-marital sex is categorically prohibited in Islam. It does not lead to the establishment of a family nor to proper and virtuous upbringing of children nor to stability and mutual care and tranquility and peace of mind between a man and woman. Rather, it leads to disorder, the disgracing of one's honor and dignity, and to a lifestyle similar to that of animals, and to that of illegitimate children who are subjected to life of vagrancy and loss.
As for the former case, regarding how a man and a woman come to know each other for the purpose of marriage, it varies from circumstance to circumstance. Normally if a man has the desire to marry and has the ability to accept the responsibility, and he does not have anyone in mind, he will ask his friends, family, and relatives if there is a lady that may be suitable for him and his expectations among their acquaintances and relatives. If someone is suggested, he normally asks about her extensively, about her religious observance, her personality, her knowledge, strengths, weaknesses, suitability as a wife willing to accept all the relevant responsibities, etc. If preliminary information seems appealing, then normally she is told that there is someone interested in meeting her and she is likewise given relevant information about him.
At this point, assuming the man and the woman as well as both families involved agree that there is potential, then the man usually visits the woman's family, often accompanied by members of his own. They are given the opportunity to see each other and sit and talk together, to converse modestly (but not in complete solitude) regarding whatever is relevant to making an informed judgment. The intention for this meeting should be for them to be able to make a decision whether or not they feel are mutually suitable. Afterwards, they each evaluate their own and their families' reactions, and pray to Allah that He guides them to what is in their best interest, and to make them accept the outcome. When both sides feel comfortable and feel they know everything they need to, based on all that has been mentioned such as asking about the other person, knowing their family, meeting in person, etc., they can make a final decision whether to carry on with marriage or not.