Alright, ready to do some subtraction? We're taking 15642 and subtracting 4320 from it.

Step 1: We'll start by subtracting the digit 0 and the borrow 0 from 2 in column 1 and get 2.
2 is the first digit of our result.

Step 2: We'll start by subtracting the digit 2 and the borrow 0 from 4 in column 2 and get 2.
2 is the next digit of our result.

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

Step 4: We'll start by subtracting the digit 4 and the borrow 0 from 5 in column 4 and get 1.
1 is the next digit of our result.

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

So, 15642 - 4320 = 11322.