We can solve this together! We're beginning with 975472705 and removing 821636494 from it.

Step 1: We'll start by subtracting the digit 4 and the borrow 0 from 5 in column 1 and get 1.
1 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 4 and the borrow 1 from 7 in column 3 and get 2.
2 is the next digit of our result.

Step 4: We'll start by subtracting the digit 6 and the borrow 0 from 2 in column 4 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 5: We'll start by subtracting the digit 3 and the borrow 1 from 7 in column 5 and get 3.
3 is the next digit of our result.

Step 6: We'll start by subtracting the digit 6 and the borrow 0 from 4 in column 6 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

Step 7: We'll start by subtracting the digit 1 and the borrow 1 from 5 in column 7 and get 3.
3 is the next digit of our result.

Step 8: We'll start by subtracting the digit 2 and the borrow 0 from 7 in column 8 and get 5.
5 is the next digit of our result.

Step 9: We'll start by subtracting the digit 8 and the borrow 0 from 9 in column 9 and get 1.
1 is the next digit of our result.

So, 975472705 - 821636494 = 153836211.