Let's divide 100102 by 25
We want to figure out the number of times 100102 can be divided by 25.

Let's proceed to step 1:
If we divide 1 by 25, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 25

Advancing to step 2:
25 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 25

Moving on to step 3:
25 goes into 100 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 100 from 100 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 25

Going ahead to step 4:
25 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 40.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 25

On to step 5:
When dividing 10 by 25, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 400.0
If we take 0 away from 10, we end up with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 25

Let's proceed to step 6:
If we divide 102 by 25, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4004.0
If we take 100 away from 102, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
If we divide 20 by 25, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4004.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
When dividing 200 by 25, we get 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 4004.08
Subtracting 200 from 200 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.

Going ahead to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4004.08
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:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 4004.08
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 4004.08 and a remainder of 0.0.