We look at the division of 255325 by 16 
We're looking to find how many times 16 goes into 255325.

On to step 1:
If we divide 2 by 16, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 16

Going ahead to step 2:
25 divided by 16 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 16 from 25, we get 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 16

Going ahead to step 3:
If we divide 95 by 16, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 15 after subtracting 80 from 95.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 16

Going ahead to step 4:
16 goes into 153 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 159.0
The remainder is 9 after subtracting 144 from 153.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 16

Advancing to step 5:
If we divide 92 by 16, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 1595.0
If we subtract 80 from 92, we get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 16

On to step 6:
125 divided by 16 is 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 15957.0
The remainder is 13 after subtracting 112 from 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
16 can be fit into 130 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 15957.8
Subtracting 128 from 130 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
If we divide 20 by 16, we get 1 and a remainder of 4.
The next digit of our result is 1. 
Result so far: 15957.81
Deduct 16 from 20 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 15957.812
If we subtract 32 from 40, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
80 divided by 16 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 15957.8125
The remainder is 0 after subtracting 80 from 80.
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 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 15957.8125
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.

Step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 15957.8125
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.

In conclusion, the division gives 15957.8125 with a balance of 0.0.