We look at the division of 41274312 by 511 
Our goal is to divide 41274312 by 511.

On to step 1:
511 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 511

Going ahead to step 2:
41 divided by 511 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 511

On to step 3:
412 divided by 511 is 0 with a remainder of 412.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 412, we end up with 412.
Append the next digit (7) from the dividend to 412 and continue with: 4127 / 511

Step 4:
4127 divided by 511 is 8 with a remainder of 39.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 4088 from 4127, we get 39.
Grab the next digit (4) from the dividend, add it to 39, then carry on: 394 / 511

Going ahead to step 5:
511 goes into 394 0 times with a remainder of 394.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
The remainder is 394 after subtracting 0 from 394.
Take the next digit (3) from the dividend and append it to 394, then repeat: 3943 / 511

Step 6:
The number 511 fits into 3943 7 times, leaving a remainder of 366.
Write down 7 as next digit of the result. 
Result so far: 807.0
Subtracting 3577 from 3943 leaves us with 366.
Take the next digit (1) from the dividend and append it to 366, then repeat: 3661 / 511

Step 7:
The number 511 fits into 3661 7 times, leaving a remainder of 84.
Record the quotient 7 as the next digit in the result. 
Result so far: 8077.0
If we take 3577 away from 3661, we end up with 84.
Fetch the next digit (2) from the dividend, attach it to 84 and continue: 842 / 511

Going ahead to step 8:
842 divided by 511 is 1 with a remainder of 331.
The next digit of our result is 1. 
Result so far: 80771.0
If we take 511 away from 842, we end up with 331.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3310, and continue the process.

Step 9:
3310 divided by 511 is 6 with a remainder of 244.
Put 6 as the next digit of the answer. 
Result so far: 80771.6
Deduct 3066 from 3310 and we're left with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Let's proceed to step 10:
When dividing 2440 by 511, we get 4 with a remainder of 396.
The next digit of our result is 4. 
Result so far: 80771.64
If we subtract 2044 from 2440, we get 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Step 11:
511 can be fit into 3960 7 times, resulting in a remainder of 383.
The next digit of our result is 7. 
Result so far: 80771.647
Subtracting 3577 from 3960 leaves us with 383.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

On to step 12:
The number 511 fits into 3830 7 times, leaving a remainder of 253.
Write down 7 as next digit of the result. 
Result so far: 80771.6477
Deduct 3577 from 3830 and we're left with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Our division results in 80771.6477 with a remaining 0.00253.