We look at the division of 12938 by 41 
Our goal is to divide 12938 by 41.

Going ahead to step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 41

Let's proceed to step 2:
If we divide 12 by 41, we get 0 and a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 41

Going ahead to step 3:
When dividing 129 by 41, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 123 from 129 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 41

Advancing to step 4:
When dividing 63 by 41, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtract 41 from 63 to get 22.
Grab the next digit (8) from the dividend, add it to 22, then carry on: 228 / 41

On to step 5:
228 divided by 41 is 5 with a remainder of 23.
The next digit of our result is 5. 
Result so far: 315.0
If we subtract 205 from 228, we 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.

Going ahead to step 6:
The number 41 fits into 230 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 315.5
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.

Advancing to step 7:
When dividing 250 by 41, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 315.56
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
41 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 315.56
Subtract 0 from 40 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.

Let's proceed to step 9:
400 divided by 41 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 315.5609
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.

Going ahead to step 10:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 315.56097
Subtracting 287 from 310 leaves us 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 11:
41 goes into 230 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 315.560975
Subtract 205 from 230 to 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.

Going ahead to step 12:
If we divide 250 by 41, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 315.5609756
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
40 divided by 41 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 315.5609756
Subtracting 0 from 40 leaves us 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.

Our division results in 315.5609756 with a remaining 4e-08.