Hidden Number Problem

We have a very big number (1 to 2^256) it is (Integer not float) this number is hidden, we can't look at its value, but we can measure it to see if it is one or 0.5 or 0.25 or 1/3 or any other numbers we can use only operators (+ , - , / , *) , it means we can add-sub-div-multiply it with any number (integer or float) we want to know any information about our hidden number we want to know if it is (odd,even) or sub result is (+,-) or div result is (integer,float) or (digits length) or any other information example 1: our hidden number is 5865425896542589652542 if we div it on two it will be 5865425896542589652542/2=2932712948271294826271 how to know if it is 2932712948271294826271 or 2932712948271294826271.5 ----- example 2: our hidden number is 5865425896542589652542 we will sub 5000000000000000000000 from it 5865425896542589652542-5000000000000000000000=865425896542589652542 how we know if result was 865425896542589652542 or 1865425896542589652542 or how we know if the digits length is decreased or still the same ------- example 3: our hidden number is 5865425896542589652545 we will add 5/7 to it and div/10 and sub 4/7 from it 5865425896542589652545+(5/7)=5865425896542589652545.7142857143...... 5865425896542589652545.7142857143/10=586542589654258965254.57142857143..... 586542589654258965254.57142857143-(4/7)=586542589654258965254 how to know if 586542589654258965254 is (integer or float) we can say: we can do number*10 and sub it from our number and see if the result is integer like this: 586542589654258965254*10=5865425896542589652540 5865425896542589652545-5865425896542589652540=5 5-1-1-1-1-1=0 then it is integer (we can do up to 10000 operation to test our result ) 5.142857-1-1-1-1-1 will not get 0 as a result then it is float but this is not working because the result is always = 5 and 5-1-1-1-1-1=0