We look at the division of 511079 by 41 
We want to divide 511079 by 41.

Step 1:
5 divided by 41 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 41

Moving on to step 2:
41 can be fit into 51 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 41 from 51 to get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 41

Let's proceed to step 3:
When dividing 101 by 41, we get 2 with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 19 after subtracting 82 from 101.
Fetch the next digit (0) from the dividend, attach it to 19 and continue: 190 / 41

On to step 4:
If we divide 190 by 41, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 124.0
The remainder is 26 after subtracting 164 from 190.
Grab the next digit (7) from the dividend, add it to 26, then carry on: 267 / 41

Going ahead to step 5:
267 divided by 41 is 6 with a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 1246.0
Subtract 246 from 267 to get 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 41

Advancing to step 6:
41 goes into 219 5 times with a remainder of 14.
The next digit of our result is 5. 
Result so far: 12465.0
Deduct 205 from 219 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 41 is 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 12465.3
Deduct 123 from 140 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
170 divided by 41 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 12465.34
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
41 goes into 60 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 12465.341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 10:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 12465.3414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
If we divide 260 by 41, we get 6 and a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 12465.34146
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
140 divided by 41 is 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 12465.341463
Deduct 123 from 140 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 13:
170 divided by 41 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 12465.3414634
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
The number 41 fits into 60 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 12465.34146341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The quotient of the division is 12465.34146341, and the remainder is 1.9e-08.