We're dividing 642035 by 25 
We want to figure out the number of times 642035 can be divided by 25.

Moving on to step 1:
25 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 25

Going ahead to step 2:
The number 25 fits into 64 2 times, leaving a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 50 from 64, we get 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 25

Going ahead to step 3:
If we divide 142 by 25, we get 5 and a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we subtract 125 from 142, we get 17.
Bring next digit (0) of the dividend behind the 17 and repeat the process: 170 / 25

Going ahead to step 4:
25 goes into 170 6 times with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 256.0
Deduct 150 from 170 and we're left with 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 25

Let's proceed to step 5:
203 divided by 25 is 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 2568.0
Subtracting 200 from 203 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 25

On to step 6:
35 divided by 25 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 25681.0
Subtract 25 from 35 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 25681.4
If we take 100 away from 100, 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.

On to step 8:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25681.4
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.

Step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25681.4
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.

After the division, we end up with 25681.4 and a remainder of 0.0.