We divide 21649 by 23
We want to divide 21649 by 23.

Step 1:
23 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 23

Moving on to step 2:
23 can be fit into 21 0 times, resulting in a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 23

Let's proceed to step 3:
When dividing 216 by 23, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 207 away from 216, we end up with 9.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 23

Step 4:
94 divided by 23 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 94.0
If we subtract 92 from 94, we get 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 23

On to step 5:
29 divided by 23 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 941.0
Deduct 23 from 29 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 6:
The number 23 fits into 60 2 times, leaving a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 941.2
The remainder is 14 after subtracting 46 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 23, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 941.26
Subtract 138 from 140 to 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.

On to step 8:
When dividing 20 by 23, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 941.26
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
The number 23 fits into 200 8 times, leaving a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 941.2608
Subtract 184 from 200 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
160 divided by 23 is 6 with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 941.26086
If we take 138 away from 160, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
23 goes into 220 9 times with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 941.260869
If we subtract 207 from 220, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 12:
130 divided by 23 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 941.2608695
Deduct 115 from 130 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
The number 23 fits into 150 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 941.26086956
If we take 138 away from 150, we end up 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.

In conclusion, the division gives 941.26086956 with a balance of 1.2e-08.