Let's divide 103565 by 25
Our goal is to divide 103565 by 25.

Advancing to step 1:
25 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 25

Going ahead to step 2:
When dividing 10 by 25, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 25

Moving on to step 3:
When dividing 103 by 25, we get 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 100 from 103 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 25

On to step 4:
25 can be fit into 35 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 10 after subtracting 25 from 35.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 25

Step 5:
If we divide 106 by 25, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 414.0
Subtract 100 from 106 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 25

Let's proceed to step 6:
65 divided by 25 is 2 with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 4142.0
Subtracting 50 from 65 leaves us 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.

On to step 7:
When dividing 150 by 25, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 4142.6
Deduct 150 from 150 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.

Moving on to step 8:
If we divide 0 by 25, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4142.6
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.

Advancing to step 9:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 4142.6
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.

Our division results in 4142.6 with a remaining 0.0.