We're dividing 97641 by 41 
We want to divide 97641 by 41.

Let's proceed to step 1:
41 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in 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 number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 15 after subtracting 82 from 97.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 41

Moving on to step 3:
When dividing 156 by 41, we get 3 with a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Subtracting 123 from 156 leaves us with 33.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 41

Let's proceed to step 4:
334 divided by 41 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 238.0
The remainder is 6 after subtracting 328 from 334.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 41

Moving on to step 5:
61 divided by 41 is 1 with a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 2381.0
The remainder is 20 after subtracting 41 from 61.
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 6:
41 goes into 200 4 times with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 2381.4
Deduct 164 from 200 and we're left 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 7:
41 can be fit into 360 8 times, resulting in a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 2381.48
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
If we divide 320 by 41, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 2381.487
Subtracting 287 from 320 leaves us 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.

Going ahead to step 9:
The number 41 fits into 330 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 2381.4878
If we subtract 328 from 330, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
When dividing 20 by 41, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 2381.4878
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
200 divided by 41 is 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 2381.487804
Subtract 164 from 200 to get 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 12:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 2381.4878048
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.

Step 13:
If we divide 320 by 41, we get 7 and a remainder of 33.
The next digit of our result is 7. 
Result so far: 2381.48780487
Deduct 287 from 320 and we're left 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 2381.48780487 with a remaining 3.3e-08.