When 8 is divided to a certain number and the result is divided by 6 the ans is less than 1quarter. Find the range of the number

Translating what you said into English ....

When 8 is divided by a certain number and the result is then divided by 6 the answer is less than 1/4

let the certain number be x

(8÷x)÷6 < 1/4
8/(6x) < 1/4

6x/8 > 4
6x > 32
x > 32/6
x > 16/3

test:
take any number greater than 16/3
e.g. x = 10
8/10 = .8
.8/6 = .1333 which is less than .25

take any number less than 16/3
e.g. x = 4
8/4= 2
2/6 = .3333.. which is NOT less than .25