106865 divided by 25 
Our goal is to divide 106865 by 25.

Let's proceed to step 1:
1 divided by 25 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 25

Let's proceed to step 2:
10 divided by 25 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 25

Going ahead to step 3:
When dividing 106 by 25, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 100 from 106 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 25

Going ahead to step 4:
68 divided by 25 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 50 from 68 leaves us with 18.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 25

On to step 5:
If we divide 186 by 25, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 427.0
Deduct 175 from 186 and we're left with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 25

Moving on to step 6:
The number 25 fits into 115 4 times, leaving a remainder of 15.
The next digit of our result is 4. 
Result so far: 4274.0
If we subtract 100 from 115, we get 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 7:
When dividing 150 by 25, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 4274.6
Subtract 150 from 150 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.

Advancing to step 8:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4274.6
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.

On to 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: 4274.6
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.

In conclusion, the division gives 4274.6 with a balance of 0.0.