We're dividing 102169 by 41 
Let's see how many times 41 fits into 102169.

Let's proceed to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 41

Going ahead 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.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 41

Moving on to step 3:
102 divided by 41 is 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 82 from 102 and we're left with 20.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 41

Advancing to step 4:
201 divided by 41 is 4 with a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 24.0
Deduct 164 from 201 and we're left with 37.
Include the next digit (6) from the dividend after 37, then repeat: 376 / 41

Step 5:
41 can be fit into 376 9 times, resulting in a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 249.0
Subtract 369 from 376 to get 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 41

Going ahead to step 6:
The number 41 fits into 79 1 times, leaving a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 2491.0
Subtracting 41 from 79 leaves us 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.

Going ahead to step 7:
If we divide 380 by 41, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 2491.9
Subtracting 369 from 380 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.

Moving on to step 8:
41 goes into 110 2 times with a remainder of 28.
The next digit of our result is 2. 
Result so far: 2491.92
If we subtract 82 from 110, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 41, we get 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 2491.926
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.

On to step 10:
41 can be fit into 340 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 2491.9268
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.

Step 11:
The number 41 fits into 120 2 times, leaving a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 2491.92682
Deduct 82 from 120 and we're left 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.

Step 12:
41 goes into 380 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 2491.926829
Deduct 369 from 380 and we're left 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.

Step 13:
41 goes into 110 2 times with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 2491.9268292
If we subtract 82 from 110, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
41 goes into 280 6 times with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 2491.92682926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 2491.92682926, and the remainder is 3.4e-08.