In a division problem, ...
... dividend / divisor = quotient
Multiplying both sides of this equation by "divisor", we get ...
... dividend = quotient × divisor . . . . . . . . the desired relationship
The for dividend = 1/8, divisor = 6, and quotient = 1/48, this becomes ...
... 1/8 = 1/48 × 6
... 1/8 = 6/48 = 1/8 . . . . . the given values are consistent