640604 ÷ 25 
We're looking to find how many times 25 goes into 640604.

Advancing to step 1:
6 divided by 25 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 25

Advancing to step 2:
When dividing 64 by 25, we get 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 50 away from 64, we end up with 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 25

Moving on to step 3:
140 divided by 25 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Deduct 125 from 140 and we're left with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 25

Step 4:
25 can be fit into 156 6 times, resulting in a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 256.0
If we take 150 away from 156, we end up with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 25

Let's proceed to step 5:
25 goes into 60 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2562.0
Subtracting 50 from 60 leaves us with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 25

Advancing to step 6:
25 goes into 104 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 25624.0
Subtract 100 from 104 to get 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 7:
25 can be fit into 40 1 times, resulting in a remainder of 15.
The next digit of our result is 1. 
Result so far: 25624.1
Subtract 25 from 40 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 25624.16
Subtracting 150 from 150 leaves us 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.

Let's proceed to step 9:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 25624.16
Subtracting 0 from 0 leaves us 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 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 25624.16
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.

After the division, we end up with 25624.16 and a remainder of 0.0.