100869 divided by 25 
We want to figure out the number of times 100869 can be divided by 25.

On to step 1:
1 divided by 25 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 25

On to step 2:
If we divide 10 by 25, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 25

Let's proceed to step 3:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 100 from 100 and we're left with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 25

Moving on to step 4:
8 divided by 25 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 40.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 25

Going ahead to step 5:
When dividing 86 by 25, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 403.0
The remainder is 11 after subtracting 75 from 86.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 25

Advancing to step 6:
When dividing 119 by 25, we get 4 with a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 4034.0
Subtract 100 from 119 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
25 goes into 190 7 times with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 4034.7
Deduct 175 from 190 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.

Advancing 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: 4034.76
If we subtract 150 from 150, 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.

Going ahead to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 4034.76
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.

On to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4034.76
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.

The final outcome is 4034.76, with a leftover of 0.0.