How to solve:
64329 is divided by a certain number. while dividing the numbers, 175, 114 and 213 appear as three successive remainders. the divisor is
(1) 184 (2) 224
(3) 234 (4) 296
whats the trick behind this to solve faster. you in advance.

The answer is the 3rd option: 234. Let me explain this to you like this: There are 3 remainders and they are 3 digit numbers so it is evident that the divisor is also 3 digit number. So what you need to do is 
643-175=468
Then:
1752-114=1638
Then
1149-213=936
Please notice that numbers 468 ,1638 ,936 are exactly divisible by the same divisor. So find the Greatest Common Denominator of the above 3 numbers which comes out to be 234. And that is the trick. Hope this helps