We can solve this together! We're beginning with 6261 and removing 4222 from it.

Step 1: We'll start by subtracting the digit 2 and the borrow 0 from 1 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 6 in column 2 and get 3.
3 is the next digit of our result.

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

Step 4: We'll start by subtracting the digit 4 and the borrow 0 from 6 in column 4 and get 2.
2 is the next digit of our result.

So, 6261 - 4222 = 2039.