165398 ÷ 25 
We want to figure out the number of times 165398 can be divided by 25.

Advancing to step 1:
25 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 25

Let's proceed to step 2:
25 goes into 16 0 times with a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 25

Moving on to step 3:
When dividing 165 by 25, we get 6 with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 150 from 165 leaves us with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 25

On to step 4:
When dividing 153 by 25, we get 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 66.0
If we subtract 150 from 153, we get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 25

Moving on to step 5:
25 can be fit into 39 1 times, resulting in a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 661.0
Subtract 25 from 39 to get 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 25

Let's proceed to step 6:
148 divided by 25 is 5 with a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 6615.0
If we subtract 125 from 148, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
25 can be fit into 230 9 times, resulting in a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 6615.9
Subtract 225 from 230 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 25 fits into 50 2 times, leaving a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 6615.92
Deduct 50 from 50 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.

Going ahead to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6615.92
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.

Advancing to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6615.92
Subtract 0 from 0 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.

In conclusion, the division gives 6615.92 with a balance of 0.0.