We look at the division of 255876 by 40 
Our goal is to divide 255876 by 40.

Let's proceed to step 1:
If we divide 2 by 40, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 40

Let's proceed to step 2:
When dividing 25 by 40, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 40

On to step 3:
40 can be fit into 255 6 times, resulting in a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 240 from 255, we get 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 40

Advancing to step 4:
40 goes into 158 3 times with a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 63.0
If we subtract 120 from 158, we get 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 40

On to step 5:
40 can be fit into 387 9 times, resulting in a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 639.0
If we subtract 360 from 387, we get 27.
Include the next digit (6) from the dividend after 27, then repeat: 276 / 40

Moving on to step 6:
The number 40 fits into 276 6 times, leaving a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 6396.0
Subtracting 240 from 276 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
The number 40 fits into 360 9 times, leaving a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 6396.9
If we take 360 away from 360, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
40 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6396.9
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
40 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6396.9
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 6396.9, with a leftover of 0.0.