We're dividing 556196 by 41 
Our goal is to divide 556196 by 41.

On to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 41

Moving on to step 2:
41 can be fit into 55 1 times, resulting in a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 41 from 55 and we're left with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 41

Let's proceed to step 3:
41 can be fit into 146 3 times, resulting in a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Deduct 123 from 146 and we're left with 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 41

Going ahead to step 4:
41 goes into 231 5 times with a remainder of 26.
Write down 5 as next digit of the result. 
Result so far: 135.0
The remainder is 26 after subtracting 205 from 231.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 41

On to step 5:
41 goes into 269 6 times with a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 1356.0
Deduct 246 from 269 and we're left with 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 41

On to step 6:
236 divided by 41 is 5 with a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 13565.0
If we take 205 away from 236, 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.

Moving on to step 7:
If we divide 310 by 41, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 13565.7
If we take 287 away from 310, we end up 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.

Advancing to step 8:
The number 41 fits into 230 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 13565.75
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.

On to step 9:
If we divide 250 by 41, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 13565.756
Deduct 246 from 250 and we're left with 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 10:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 13565.756
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.

Going ahead to step 11:
41 can be fit into 400 9 times, resulting in a remainder of 31.
The next digit of our result is 9. 
Result so far: 13565.75609
If we subtract 369 from 400, we 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 12:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 13565.756097
If we take 287 away from 310, we end up 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.

On to step 13:
If we divide 230 by 41, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 13565.7560975
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.

Let's proceed to step 14:
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: 13565.75609756
Deduct 246 from 250 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 13565.75609756 with a remaining 4e-09.