We're dividing 23641 by 88 
We're looking to find how many times 88 goes into 23641.

Advancing to step 1:
2 divided by 88 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 88

Moving on to step 2:
The number 88 fits into 23 0 times, leaving a remainder of 23.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 23, we get 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 88

Moving on to step 3:
When dividing 236 by 88, we get 2 with a remainder of 60.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 60 after subtracting 176 from 236.
Take the next digit (4) from the dividend and append it to 60, then repeat: 604 / 88

Going ahead to step 4:
88 goes into 604 6 times with a remainder of 76.
The next digit of our result is 6. 
Result so far: 26.0
If we subtract 528 from 604, we get 76.
Fetch the next digit (1) from the dividend, attach it to 76 and continue: 761 / 88

On to step 5:
88 can be fit into 761 8 times, resulting in a remainder of 57.
The next digit of our result is 8. 
Result so far: 268.0
Deduct 704 from 761 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 6:
570 divided by 88 is 6 with a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 268.6
The remainder is 42 after subtracting 528 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
88 goes into 420 4 times with a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 268.64
If we take 352 away from 420, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 8:
680 divided by 88 is 7 with a remainder of 64.
Put 7 as the next digit of the answer. 
Result so far: 268.647
Deduct 616 from 680 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
When dividing 640 by 88, we get 7 with a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 268.6477
The remainder is 24 after subtracting 616 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 268.6477 with a remainder of 0.00024.