Why do Jews not eat meat and milk at the same meal?
Jewish laws prohibit us from eating Meat (including poultry) and Milk in the same meal, as it is consider to be immoral to “boil a kid in its mother’s milk.”
This separation includes not only the foods themselves but the utensils, pots and pans with which they are cooked; the plates and flatware from which they are eaten; the dishwashers or dishpans in which they are cleaned; the sponges with which they are cleaned; and the towels with which they are dried. A kosher household will have at least two sets of pots, pans and dishes: one for meat and one for dairy.
However, it is permissible to eat fish and dairy together – it is quite common to eat lox, (smoked salmon) and cream cheese, for example. It is also permissible to eat dairy and eggs together.