I always get this problem when I try to overwinter strawberry plants indoors. I'm pretty certain your astrawberry plant is infested with red spider mites, and by the looks of it, the plant is pretty far gone.
I can't guarantee you'll be able to save it, but here's what you want to do.
keeping the leaves exposed, wrap the container in a plastic bag Or plastic food wrap in such a way that the plant and the soil won't fall out when you turn it upside down. Now, instead of a dish soap, which may or may not be detergent (detergent can burn your plant leaves) take a mild unscented glycerin soap (or I use Dr. Bronners Liquid soap) and make a slightly sudsy solution in a bowl large enough to accommodate the leaves.
Dunk the leaves in and swish around. Wait a minute and dunk and swish again. Now give it about 5 minutes, they dunk in fresh bowl of water and swish until completely rinsed off. You will see tiny reddish specks floating in both the soapy and fresh water. Remove the wrap.
Repeat every 2 or 3 days for two weeks to break their breeding cycle.
Now, the plants may be able to recover if given good care. Are you sure you are giving them sufficient light -- I.e. Duration is fine but what about intensity? What kind of supplemental light are you using? how close to the plant leaves are they positioned? The soil is well draining? The crown (base of the leaves) of strawberry plants should not be too far buried.
Don't fertilize again until the plants have recovered and start to green up or grow new leaves. I would use Tomato- tone or other organic tomato fertilizer rather than general vegetable fertilizer which may be too high in nitrogen and prevent flowering. BUT strawberries are either June bearing and only fruit for a short period of time in late spring/early summer OR they are everbearing/Day neutral. Which kind do you have?