We're dividing 383664 by 25 
We're looking to find how many times 25 goes into 383664.

Let's proceed to step 1:
If we divide 3 by 25, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 25

Going ahead to step 2:
If we divide 38 by 25, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 25 away from 38, we end up with 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 25

Going ahead to step 3:
When dividing 133 by 25, we get 5 with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 8 after subtracting 125 from 133.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 25

Moving on to step 4:
86 divided by 25 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 153.0
If we subtract 75 from 86, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 25

On to step 5:
The number 25 fits into 116 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 1534.0
If we take 100 away from 116, we end up with 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 25

On to step 6:
164 divided by 25 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 15346.0
If we subtract 150 from 164, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
If we divide 140 by 25, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 15346.5
If we subtract 125 from 140, 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.

Step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 15346.56
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.

On to step 9:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 15346.56
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 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 15346.56
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 result is 15346.56 with a remainder of 0.0.