Ok so i am not the greatest with housework but maybe you could try a few things to either remember the washing or work out a better system?

1. Ask Mr I Need Some Clothes to do washing 1 day a week
2. Have set days for washing?
3. Buy a timer - set it for a little longer than a load takes, pop it in a central room so you can hear it and it reminds you to hang the washing out.
4. Remind yourself how expensive replacing ruined clothes can be - i left something in the wash once just overnight and it was ruined, no matter how much i washed it and i felt horrid.. now even though i sometimes forget i try to remember to atleast open the lid etc when a load is finished or put it in the basket to go out.