We divide 106201 by 41
We want to divide 106201 by 41.

Moving on to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 41

Advancing to step 2:
When dividing 10 by 41, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 41

Going ahead to step 3:
41 can be fit into 106 2 times, resulting in a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 24 after subtracting 82 from 106.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 41

Advancing to step 4:
The number 41 fits into 242 5 times, leaving a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 25.0
If we take 205 away from 242, we end up with 37.
Bring next digit (0) of the dividend behind the 37 and repeat the process: 370 / 41

Moving on to step 5:
41 goes into 370 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 259.0
If we take 369 away from 370, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 41

Moving on to step 6:
When dividing 11 by 41, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 2590.0
Subtracting 0 from 11 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
If we divide 110 by 41, we get 2 and a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 2590.2
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
When dividing 280 by 41, we get 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 2590.26
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
The number 41 fits into 340 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 2590.268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
If we divide 120 by 41, we get 2 and a remainder of 38.
The next digit of our result is 2. 
Result so far: 2590.2682
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
If we divide 380 by 41, we get 9 and a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 2590.26829
Subtract 369 from 380 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
If we divide 110 by 41, we get 2 and a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 2590.268292
Deduct 82 from 110 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 13:
When dividing 280 by 41, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 2590.2682926
Deduct 246 from 280 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
The number 41 fits into 340 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 2590.26829268
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 2590.26829268, with a leftover of 1.2e-08.