In order to exactly know it's remainder, let's use the approach of long division. This is when you divide the number a group of digits initially, followed by one digit at a time. For example. when you divide 56794 by 338, divide the digits 567 initially. The quotient would be 1. Then, you multiple the quotient to the divisor: 338*1 = 338. Then, subtract this to 567. The answer would be 229. Next, you carry down the next digit after 567; that would be 9. The next number to divide is 2299. Repeat the steps again until you reach the last digit. The solution is as follows:
168
----------------------
338 | 56794
-338
--------------
2299
- 2028
--------------
2714
- 2704
-------------
10
Therefore, the quotient is 168 with a remainder of 10. When you want to express this in fraction, the quotient would be 168 and 10/338. When simplified, the mixed fraction is 168 5/169.