We look at the division of 665643 by 25 
We want to divide 665643 by 25.

Step 1:
6 divided by 25 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 25

Let's proceed to step 2:
The number 25 fits into 66 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 50 from 66, we get 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 25

Step 3:
If we divide 165 by 25, we get 6 and a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtract 150 from 165 to get 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 25

Let's proceed to step 4:
156 divided by 25 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 266.0
Subtract 150 from 156 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 25

Step 5:
64 divided by 25 is 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 2662.0
Subtracting 50 from 64 leaves us with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 25

Step 6:
When dividing 143 by 25, we get 5 with a remainder of 18.
Put 5 as the next digit of the answer. 
Result so far: 26625.0
Deduct 125 from 143 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
25 goes into 180 7 times with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 26625.7
Subtracting 175 from 180 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 25, we get 2 and a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 26625.72
Subtract 50 from 50 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.

On to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 26625.72
The remainder is 0 after subtracting 0 from 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 10:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 26625.72
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.

In conclusion, the division gives 26625.72 with a balance of 0.0.