Camelid fiber is hand washed on average 2-3 times. Our general process is a long initial soak to loosen and melt the dust and dirt.
We use Orvus® WA Paste and finish in Unicorn® Fibre Wash for most wash cycles. Each fleece is a bit different but we keep going until we get fairly clean water after a wash.
Then, rinsing to get the soap out.

Suri Alpaca generally gets 2 wash cycles. That is wash, pick to open the bundles then wash again to get residual dirt out and then card.