We look at the division of 516806 by 41 
Our goal is to divide 516806 by 41.

Advancing to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 41

On to step 2:
The number 41 fits into 51 1 times, leaving a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 41 from 51, we get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 41

Let's proceed to step 3:
41 goes into 106 2 times with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 82 from 106 leaves us with 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 41

On to step 4:
248 divided by 41 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 126.0
If we subtract 246 from 248, we get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 41

Moving on to step 5:
If we divide 20 by 41, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 1260.0
If we subtract 0 from 20, we get 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 41

Moving on to step 6:
When dividing 206 by 41, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 12605.0
The remainder is 1 after subtracting 205 from 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
When dividing 10 by 41, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 12605.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 41, we get 2 and a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 12605.02
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
If we divide 180 by 41, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 12605.024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
If we divide 160 by 41, we get 3 and a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 12605.0243
If we take 123 away from 160, we end up 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.

Going ahead to step 11:
41 can be fit into 370 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 12605.02439
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 12:
41 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 12605.02439
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
If we divide 100 by 41, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 12605.0243902
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.

On to step 14:
When dividing 180 by 41, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 12605.02439024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 12605.02439024, with a leftover of 1.6e-08.