102004 divided by 25 
We want to divide 102004 by 25.

Advancing to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 25

On to step 2:
10 divided by 25 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 25

Moving on to step 3:
When dividing 102 by 25, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 100 from 102 and we're left with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 25

Advancing to step 4:
The number 25 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 40.0
If we take 0 away from 20, we end up with 20.
Bring next digit (0) of the dividend behind the 20 and repeat the process: 200 / 25

Step 5:
25 goes into 200 8 times with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 408.0
If we subtract 200 from 200, we get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 25

Step 6:
25 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 4080.0
If we take 0 away from 4, we end up 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.

Moving on to step 7:
25 goes into 40 1 times with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 4080.1
Deduct 25 from 40 and we're left 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.

Step 8:
The number 25 fits into 150 6 times, leaving a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 4080.16
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.

Step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4080.16
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.

Moving on to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4080.16
Deduct 0 from 0 and we're left 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.

Our division results in 4080.16 with a remaining 0.0.