We divide 645633 by 25
We want to figure out the number of times 645633 can be divided by 25.

Advancing to step 1:
25 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 25

Let's proceed to step 2:
25 goes into 64 2 times with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 14 after subtracting 50 from 64.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 25

Advancing to step 3:
145 divided by 25 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Deduct 125 from 145 and we're left with 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 25

Advancing to step 4:
25 goes into 206 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 258.0
If we take 200 away from 206, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 25

Step 5:
When dividing 63 by 25, we get 2 with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 2582.0
The remainder is 13 after subtracting 50 from 63.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 25

Going ahead to step 6:
25 goes into 133 5 times with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 25825.0
Subtract 125 from 133 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
When dividing 80 by 25, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 25825.3
Subtract 75 from 80 to 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.

Step 8:
50 divided by 25 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 25825.32
If we take 50 away from 50, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 25825.32
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 25825.32
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 25825.32, with a leftover of 0.0.