We look at the division of 971679 by 41 
Our goal is to divide 971679 by 41.

Going ahead to step 1:
When dividing 9 by 41, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 41

Let's proceed to step 2:
97 divided by 41 is 2 with a remainder of 15.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 82 from 97, we get 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 41

Step 3:
41 goes into 151 3 times with a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtract 123 from 151 to get 28.
Take the next digit (6) from the dividend and append it to 28, then repeat: 286 / 41

Going ahead to step 4:
When dividing 286 by 41, we get 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 236.0
Deduct 246 from 286 and we're left with 40.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 41

Advancing to step 5:
The number 41 fits into 407 9 times, leaving a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 2369.0
Deduct 369 from 407 and we're left with 38.
Bring next digit (9) of the dividend behind the 38 and repeat the process: 389 / 41

Advancing to step 6:
When dividing 389 by 41, we get 9 with a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 23699.0
If we subtract 369 from 389, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
If we divide 200 by 41, we get 4 and a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 23699.4
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 8:
If we divide 360 by 41, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 23699.48
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
320 divided by 41 is 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 23699.487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 10:
If we divide 330 by 41, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 23699.4878
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
41 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 23699.4878
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
200 divided by 41 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 23699.487804
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
360 divided by 41 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 23699.4878048
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 14:
41 can be fit into 320 7 times, resulting in a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 23699.48780487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 23699.48780487 with a remaining 3.3e-08.