We're dividing 105082 by 41 
Let's see how many times 41 fits into 105082.

Moving on to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 41

Step 2:
The number 41 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 41

Going ahead to step 3:
105 divided by 41 is 2 with a remainder of 23.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 82 from 105 leaves us with 23.
Bring next digit (0) of the dividend behind the 23 and repeat the process: 230 / 41

Advancing to step 4:
230 divided by 41 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 25.0
The remainder is 25 after subtracting 205 from 230.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 41

On to step 5:
41 can be fit into 258 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 256.0
If we take 246 away from 258, we end up with 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 41

Step 6:
The number 41 fits into 122 2 times, leaving a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 2562.0
Subtract 82 from 122 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
When dividing 400 by 41, we get 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 2562.9
If we take 369 away from 400, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 8:
If we divide 310 by 41, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 2562.97
Subtract 287 from 310 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 9:
41 goes into 230 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 2562.975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
41 goes into 250 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2562.9756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2562.9756
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 2562.975609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 13:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 2562.9756097
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 14:
When dividing 230 by 41, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2562.97560975
If we subtract 205 from 230, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 2562.97560975 and a remainder of 2.5e-08.