We look at the division of 529695 by 41 
Our goal is to divide 529695 by 41.

Going ahead to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 41

Going ahead to step 2:
41 goes into 52 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 41 away from 52, we end up with 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 41

Step 3:
119 divided by 41 is 2 with a remainder of 37.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 82 from 119 leaves us with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 41

On to step 4:
376 divided by 41 is 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 129.0
Deduct 369 from 376 and we're left with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 41

Moving on to step 5:
41 can be fit into 79 1 times, resulting in a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 1291.0
Deduct 41 from 79 and we're left with 38.
Bring next digit (5) of the dividend behind the 38 and repeat the process: 385 / 41

Advancing to step 6:
41 goes into 385 9 times with a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 12919.0
The remainder is 16 after subtracting 369 from 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
The number 41 fits into 160 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 12919.3
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
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: 12919.39
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 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 12919.39
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
41 can be fit into 100 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 12919.3902
Subtracting 82 from 100 leaves us 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 11:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 12919.39024
If we take 164 away from 180, we end up 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.

Advancing to step 12:
160 divided by 41 is 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 12919.390243
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.

Going ahead to step 13:
370 divided by 41 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 12919.3902439
Subtract 369 from 370 to 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.

Advancing to 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: 12919.3902439
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 12919.3902439 with a remaining 1e-08.