We can solve this together! We're beginning with 66860 and removing 34477 from it.

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

Step 2: We'll start by subtracting the digit 7 and the borrow 1 from 6 in column 2 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

Step 3: We'll start by subtracting the digit 4 and the borrow 1 from 8 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 6 in column 4 and get 2.
2 is the next digit of our result.

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

So, 66860 - 34477 = 32383.