Alright, ready to do some subtraction? We're taking 626618 and subtracting 40725 from it.

Step 1: We'll start by subtracting the digit 5 and the borrow 0 from 8 in column 1 and get 3.
3 is the first digit of our result.

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

Step 3: We'll start by subtracting the digit 7 and the borrow 1 from 6 in column 3 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

Step 4: We'll start by subtracting the digit 0 and the borrow 1 from 6 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 2 in column 5 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

Step 6: We'll start by subtracting the digit 0 and the borrow 1 from 6 in column 6 and get 5.
5 is the next digit of our result.

So, 626618 - 40725 = 585893.