Let's get this math done. We have 557106 and 41792, and we're going to subtract the second number from the first.

Step 1: We'll start by subtracting the digit 2 and the borrow 0 from 6 in column 1 and get 4.
4 is the first digit of our result.

Step 2: We'll start by subtracting the digit 9 and the borrow 0 from 0 in column 2 and get -9.
We add -9 to 10 and get 1 as the next digit of the result.

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

Step 4: We'll start by subtracting the digit 1 and the borrow 1 from 7 in column 4 and get 5.
5 is the next digit of our result.

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

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

So, 557106 - 41792 = 515314.