We look at the division of 10000041 by 842 
Our goal is to divide 10000041 by 842.

Advancing to step 1:
The number 842 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 842

Let's proceed to step 2:
The number 842 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 842

On to step 3:
When dividing 100 by 842, we get 0 with a remainder of 100.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 100, we end up with 100.
Include the next digit (0) from the dividend after 100, then repeat: 1000 / 842

Let's proceed to step 4:
If we divide 1000 by 842, we get 1 and a remainder of 158.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 842 from 1000 to get 158.
Include the next digit (0) from the dividend after 158, then repeat: 1580 / 842

Moving on to step 5:
842 can be fit into 1580 1 times, resulting in a remainder of 738.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 842 away from 1580, we end up with 738.
Bring next digit (0) of the dividend behind the 738 and repeat the process: 7380 / 842

Advancing to step 6:
7380 divided by 842 is 8 with a remainder of 644.
The number 8 becomes the next digit in our result. 
Result so far: 118.0
If we subtract 6736 from 7380, we get 644.
Include the next digit (4) from the dividend after 644, then repeat: 6444 / 842

Going ahead to step 7:
842 can be fit into 6444 7 times, resulting in a remainder of 550.
Record the quotient 7 as the next digit in the result. 
Result so far: 1187.0
Subtract 5894 from 6444 to get 550.
Append the next digit (1) from the dividend to 550 and continue with: 5501 / 842

Going ahead to step 8:
842 goes into 5501 6 times with a remainder of 449.
Use 6 as the next digit of our solution. 
Result so far: 11876.0
Deduct 5052 from 5501 and we're left with 449.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4490, and continue the process.

Let's proceed to step 9:
When dividing 4490 by 842, we get 5 with a remainder of 280.
The next digit of our result is 5. 
Result so far: 11876.5
If we take 4210 away from 4490, we end up with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Let's proceed to step 10:
If we divide 2800 by 842, we get 3 and a remainder of 274.
The number 3 becomes the next digit in our result. 
Result so far: 11876.53
If we subtract 2526 from 2800, we get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

On to step 11:
When dividing 2740 by 842, we get 3 with a remainder of 214.
Record the quotient 3 as the next digit in the result. 
Result so far: 11876.533
Subtracting 2526 from 2740 leaves us with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

In conclusion, the division gives 11876.533 with a balance of 0.0214.