We're dividing 511409 by 41 
We want to divide 511409 by 41.

Advancing to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 41

On to step 2:
41 goes into 51 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 41 from 51 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 41

Moving on to step 3:
The number 41 fits into 101 2 times, leaving a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 82 from 101 and we're left with 19.
Bring next digit (4) of the dividend behind the 19 and repeat the process: 194 / 41

Going ahead to step 4:
194 divided by 41 is 4 with a remainder of 30.
The next digit of our result is 4. 
Result so far: 124.0
Subtracting 164 from 194 leaves us with 30.
Bring next digit (0) of the dividend behind the 30 and repeat the process: 300 / 41

Advancing to step 5:
300 divided by 41 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 1247.0
If we subtract 287 from 300, we get 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 41

Let's proceed to step 6:
41 goes into 139 3 times with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 12473.0
Deduct 123 from 139 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
160 divided by 41 is 3 with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 12473.3
Subtracting 123 from 160 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 8:
41 goes into 370 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 12473.39
Deduct 369 from 370 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
41 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 12473.39
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
100 divided by 41 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 12473.3902
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 11:
41 goes into 180 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 12473.39024
Subtracting 164 from 180 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
160 divided by 41 is 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 12473.390243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 13:
If we divide 370 by 41, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 12473.3902439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
If we divide 10 by 41, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 12473.3902439
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 12473.3902439 with a remaining 1e-08.