We divide 632953 by 25
Let's see how many times 25 fits into 632953.

Step 1:
6 divided by 25 is 0 with 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.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 25

Going ahead to step 2:
If we divide 63 by 25, we get 2 and a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 50 away from 63, we end up with 13.
Bring next digit (2) of the dividend behind the 13 and repeat the process: 132 / 25

Going ahead to step 3:
The number 25 fits into 132 5 times, leaving a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 25.0
If we subtract 125 from 132, we get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 25

Advancing to step 4:
25 can be fit into 79 3 times, resulting in a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 253.0
Subtracting 75 from 79 leaves us with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 25

Let's proceed to step 5:
When dividing 45 by 25, we get 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 2531.0
Subtracting 25 from 45 leaves us with 20.
Include the next digit (3) from the dividend after 20, then repeat: 203 / 25

Let's proceed to step 6:
If we divide 203 by 25, we get 8 and a remainder of 3.
The next digit of our result is 8. 
Result so far: 25318.0
If we take 200 away from 203, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 25 is 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 25318.1
The remainder is 5 after subtracting 25 from 30.
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 8:
If we divide 50 by 25, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 25318.12
Subtract 50 from 50 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 9:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 25318.12
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.

Let's proceed to step 10:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 25318.12
If we take 0 away from 0, 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.

The final result is 25318.12 with a remainder of 0.0.