We look at the division of 824113 by 41 
We want to divide 824113 by 41.

Advancing to step 1:
41 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 41

Advancing to step 2:
41 can be fit into 82 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 82 from 82, we get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 41

Advancing to step 3:
The number 41 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 20.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 41

Going ahead to step 4:
41 goes into 41 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 201.0
Subtracting 41 from 41 leaves us with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 41

Moving on to step 5:
The number 41 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 2010.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 41

Step 6:
13 divided by 41 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 20100.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
130 divided by 41 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 20100.3
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
41 goes into 70 1 times with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 20100.31
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 9:
The number 41 fits into 290 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 20100.317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 20100.317
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
The number 41 fits into 300 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 20100.31707
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
If we divide 130 by 41, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 20100.317073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
41 goes into 70 1 times with a remainder of 29.
The next digit of our result is 1. 
Result so far: 20100.3170731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 14:
290 divided by 41 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 20100.31707317
Deduct 287 from 290 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 20100.31707317 with a remainder of 3e-09.