First you need to determine what operation needs to be performed based on the context of the problem. The list below describes a lot (but not all) of the types of problems you'll see
1. Combining 2 or more quantities? Addition
2. Adding on a quantity to some amount you already have? Addition
3. Finding the difference between two quantities? Subtraction
4. Taking one quantity away from another? Subtraction
5. Making some quantity of copies of another quantity? Multiplication
6. Repeatedly adding a number to itself some amount of times? Multiplication
7. Breaking a quantity into equally sized groups? Division
8. Repeatedly subtracting an equal quantity until you reach zero? Division
This problem seems most similar to type #8 above. You can imagine starting with 969 miles and for each day, you can subtract off the 323 miles that were driven.. You would repeatedly subtract 323 until Karen reaches her destination or the number of miles left to be driven is 0.
So you need to compute the quotient for the division problem 969 / 323. The answer is exactly 3 days. The long division (which isn't too tricky here) is shown below.