643551 ÷ 23 
We're looking to find how many times 23 goes into 643551.

Step 1:
23 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 23

Moving on to step 2:
When dividing 64 by 23, we get 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 46 from 64 leaves us with 18.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 23

Advancing to step 3:
23 goes into 183 7 times with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Subtract 161 from 183 to get 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 23

Advancing to step 4:
If we divide 225 by 23, we get 9 and a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 279.0
Subtracting 207 from 225 leaves us with 18.
Grab the next digit (5) from the dividend, add it to 18, then carry on: 185 / 23

Let's proceed to step 5:
185 divided by 23 is 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 2798.0
Subtracting 184 from 185 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 23

On to step 6:
23 can be fit into 11 0 times, resulting in a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 27980.0
The remainder is 11 after subtracting 0 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
23 goes into 110 4 times with a remainder of 18.
The next digit of our result is 4. 
Result so far: 27980.4
If we subtract 92 from 110, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
The number 23 fits into 180 7 times, leaving a remainder of 19.
The next digit of our result is 7. 
Result so far: 27980.47
If we take 161 away from 180, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 9:
If we divide 190 by 23, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 27980.478
Deduct 184 from 190 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.

Advancing to step 10:
The number 23 fits into 60 2 times, leaving a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 27980.4782
If we subtract 46 from 60, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
If we divide 140 by 23, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 27980.47826
If we subtract 138 from 140, 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.

On to step 12:
When dividing 20 by 23, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 27980.47826
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.

Going ahead to step 13:
If we divide 200 by 23, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 27980.4782608
Subtracting 184 from 200 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
If we divide 160 by 23, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 27980.47826086
The remainder is 22 after subtracting 138 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 27980.47826086 with a balance of 2.2e-08.