Okay, let's tackle this math problem. We're starting with 37442 and subtracting 24735.

Step 1: We'll start by subtracting the digit 5 and the borrow 0 from 2 in column 1 and get -3.
We add -3 to 10 and get 7 as the first digit of the result.

Step 2: We'll start by subtracting the digit 3 and the borrow 1 from 4 in column 2 and get 0.
0 is the next digit of our result.

Step 3: We'll start by subtracting the digit 7 and the borrow 0 from 4 in column 3 and get -3.
We add -3 to 10 and get 7 as the next digit of the result.

Step 4: We'll start by subtracting the digit 4 and the borrow 1 from 7 in column 4 and get 2.
2 is the next digit of our result.

Step 5: We'll start by subtracting the digit 2 and the borrow 0 from 3 in column 5 and get 1.
1 is the next digit of our result.

So, 37442 - 24735 = 12707.