We're dividing 625645 by 23 
We want to figure out the number of times 625645 can be divided by 23.

Moving on to step 1:
If we divide 6 by 23, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 23

Advancing to step 2:
When dividing 62 by 23, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 46 away from 62, we end up with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 23

Moving on to step 3:
If we divide 165 by 23, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we take 161 away from 165, we end up with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 23

Advancing to step 4:
23 can be fit into 46 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 272.0
If we subtract 46 from 46, we get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 23

Step 5:
If we divide 4 by 23, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 2720.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 23

Advancing to step 6:
If we divide 45 by 23, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 27201.0
Deduct 23 from 45 and we're left 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.

Step 7:
If we divide 220 by 23, we get 9 and a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 27201.9
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.

Step 8:
130 divided by 23 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 27201.95
Subtracting 115 from 130 leaves us 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.

Advancing to step 9:
150 divided by 23 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 27201.956
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.

Going ahead to step 10:
23 goes into 120 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 27201.9565
If we take 115 away from 120, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
When dividing 50 by 23, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 27201.95652
Subtracting 46 from 50 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
40 divided by 23 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 27201.956521
The remainder is 17 after subtracting 23 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
The number 23 fits into 170 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 27201.9565217
Subtracting 161 from 170 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 14:
23 goes into 90 3 times with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 27201.95652173
Subtracting 69 from 90 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 27201.95652173 with a balance of 2.1e-08.