We look at the division of 531025 by 41 
Our goal is to divide 531025 by 41.

Going ahead to step 1:
41 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 41

Step 2:
53 divided by 41 is 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 41 from 53 to get 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 41

On to step 3:
41 can be fit into 121 2 times, resulting in a remainder of 39.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 82 away from 121, we end up with 39.
Include the next digit (0) from the dividend after 39, then repeat: 390 / 41

Advancing to step 4:
When dividing 390 by 41, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 129.0
Subtracting 369 from 390 leaves us with 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 41

Going ahead to step 5:
212 divided by 41 is 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 1295.0
If we subtract 205 from 212, we get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 41

Step 6:
If we divide 75 by 41, we get 1 and a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 12951.0
Subtracting 41 from 75 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
If we divide 340 by 41, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 12951.8
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
41 goes into 120 2 times with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 12951.82
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 9:
41 goes into 380 9 times with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 12951.829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
When dividing 110 by 41, we get 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 12951.8292
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
41 can be fit into 280 6 times, resulting in a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 12951.82926
Deduct 246 from 280 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 12:
When dividing 340 by 41, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 12951.829268
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 12951.8292682
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 14:
380 divided by 41 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 12951.82926829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 12951.82926829 with a remainder of 1.1e-08.