That's the core of "processed" food. If you could get a cup of broccoli at McDonald's you wouldn't have the stomach space for all the easy to eat (low chew) foods they sell.
If you aren't trying to completely get rid of ultraprocessed foods, high fiber breakfast cereals can help with fiber. General Mills Fiber One Original or Kellog's All Bran Buds for example. The former has less sugar and slightly more fiber, but the latter has a better mix of soluble and insoluble fiber. Fiber One is 17 g insoluble/1 g soluble, and All Bran Buds is 12 g insoluble/5 g soluble.
When eating out, it's practically impossible to hit goals on macronutrient categories, much less fiber goals! The best one can do is try to count calories.