Let's divide 128644 by 23
We're looking to find how many times 23 goes into 128644.

Going ahead to step 1:
If we divide 1 by 23, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 23

Going ahead to step 2:
When dividing 12 by 23, we get 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 23

Let's proceed to step 3:
23 can be fit into 128 5 times, resulting in a remainder of 13.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 13 after subtracting 115 from 128.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 23

Advancing to step 4:
The number 23 fits into 136 5 times, leaving a remainder of 21.
The next digit of our result is 5. 
Result so far: 55.0
Subtracting 115 from 136 leaves us with 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 23

Let's proceed to step 5:
23 goes into 214 9 times with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 559.0
Deduct 207 from 214 and we're left with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 23

Step 6:
When dividing 74 by 23, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 5593.0
If we subtract 69 from 74, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
50 divided by 23 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 5593.2
If we subtract 46 from 50, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
40 divided by 23 is 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 5593.21
If we subtract 23 from 40, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
23 goes into 170 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 5593.217
The remainder is 9 after subtracting 161 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
23 can be fit into 90 3 times, resulting in a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 5593.2173
If we subtract 69 from 90, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 11:
23 goes into 210 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 5593.21739
If we subtract 207 from 210, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
30 divided by 23 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 5593.217391
Deduct 23 from 30 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
The number 23 fits into 70 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 5593.2173913
If we subtract 69 from 70, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 14:
If we divide 10 by 23, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 5593.2173913
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 5593.2173913 with a balance of 1e-08.