Let's get this math done. We have 9694 and 4125, and we're going to subtract the second number from the first.

Step 1: We'll start by subtracting the digit 5 and the borrow 0 from 4 in column 1 and get -1.
We add -1 to 10 and get 9 as the first digit of the result.

Step 2: We'll start by subtracting the digit 2 and the borrow 1 from 9 in column 2 and get 6.
6 is the next digit of our result.

Step 3: We'll start by subtracting the digit 1 and the borrow 0 from 6 in column 3 and get 5.
5 is the next digit of our result.

Step 4: We'll start by subtracting the digit 4 and the borrow 0 from 9 in column 4 and get 5.
5 is the next digit of our result.

So, 9694 - 4125 = 5569.