I was receiving unemployment and then found a job, Come to find out, I can not afford daycare for my 3 small kids. Can I get back on unemployment?
Not being able to afford daycare is generally not good cause to quit a job .. therefore makes getting your benefits back very difficult.
Quitting almost always must be attributable to the work .. I suspect though that the issue you should be investigating is whether you have a case to quit because the the work is not suitable work.
I MIGHT have been able to direct you to more information about your problem if I knew what state you live in.