The "six hour" rule
The prohibition against eating meat and milk together extends even further than partaking of them at the same meal.  Milk foods or drinks may not be consumed after meat foods for a minimum of six hours.  (Some observe an interval of three or four hours).  This also applies to eating meat after swiss cheese that has been aged more than six months. This does not apply to processed American cheese. Meaty food may be eaten after other dairy foods however, provided the mouth is rinsed or some bread is eaten in between.

It is not permitted to bake bread with milk as an ingredient, in case it is inadvertently eaten with a meat meal.

Meat and fish should not be cooked together or eaten simultaneously but can be part of the same meal in different courses.  The same cutlery, however, may not be used unless it is washed-up in between.