We divide 102025 by 2
We want to divide 102025 by 2.

Let's proceed to step 1:
The number 2 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 2

Let's proceed to step 2:
2 goes into 10 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 10 from 10, we get 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 2

Moving on to step 3:
2 can be fit into 2 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we take 2 away from 2, we end up with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 2

Moving on to step 4:
0 divided by 2 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 510.0
The remainder is 0 after subtracting 0 from 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 2

Step 5:
When dividing 2 by 2, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 5101.0
Subtract 2 from 2 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

On to step 6:
When dividing 5 by 2, we get 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 51012.0
If we take 4 away from 5, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 2 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 51012.5
If we subtract 10 from 10, we 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 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 51012.5
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.

On to step 9:
If we divide 0 by 2, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 51012.5
If we subtract 0 from 0, we 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.

The final result is 51012.5 with a remainder of 0.0.