How do you clean a double mesh strainer??
How? High water pressure, a stiff brush, a lot of cursing and stomping, and a helpful spouse all help.
Seriously, I have been reduced to cleaning my Extra-Fine Chinoise with a pressure washer. A major PITA, but worth it if you want the results of the sieve size. It also helps to reverse the direction of the food-- wash it back INTO the strainer.
In a bowl of soapy water with a toothbrush, scrubbing and rapidly lifting up and down creating a kind of vortex. It is easier to do than it sounds.