It's a long week, or it's a long run.
You just chuck your shoes to one side.
We've all done it. But, it's really good to get into good habits.
You've spent money on your kit for a reason (probably not just because it looks good!).
Giving your kit a good clean down not only makes it last longer and smell nicer but it'll also pick up any areas that need more attention. Stitching that is going, breaks in the sole of shoes, shoe laces that might break soon, you'll see it easier if it's clean and the time to look is while you're cleaning.
Honestly, it's worth it - it means you can travel lighter, and with more confidence. Have a watch of this video - what I choose to carry, starts with my shoes.