We're dividing 4199 by 41 
We want to figure out the number of times 4199 can be divided by 41.

Advancing to step 1:
The number 41 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 41

Let's proceed to step 2:
41 goes into 41 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 41 away from 41, we end up with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 41

Step 3:
The number 41 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 41

Let's proceed to step 4:
41 can be fit into 99 2 times, resulting in a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 102.0
Deduct 82 from 99 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 5:
41 can be fit into 170 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 102.4
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 102.41
The remainder is 19 after subtracting 41 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
When dividing 190 by 41, we get 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 102.414
Subtract 164 from 190 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
41 can be fit into 260 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 102.4146
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 9:
When dividing 140 by 41, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 102.41463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
41 goes into 170 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 102.414634
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
60 divided by 41 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 102.4146341
If we subtract 41 from 60, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 102.41463414
Subtract 164 from 190 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final outcome is 102.41463414, with a leftover of 2.6e-08.