by repeated use of the division theorem, find the infinite decimal representing the rational number 5/7.

so we know r= 5/7. and in this form: a=bq+r.

that b must be greater than r. So we can assume that b equals say 8/10.

then 7/10 < 5/7 < 8/10.

I do not know where to go from here.

From this, do we use that since, r=5/7, b=8/10.

a=(8/10)(q) + 5/7