We're dividing 258545 by 16 
Our goal is to divide 258545 by 16.

Advancing to step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 16

Advancing to step 2:
25 divided by 16 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 16 from 25 and we're left with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 16

Moving on to step 3:
The number 16 fits into 98 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we take 96 away from 98, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 16

Going ahead to step 4:
When dividing 25 by 16, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 161.0
If we subtract 16 from 25, we get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 16

Step 5:
16 can be fit into 94 5 times, resulting in a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 1615.0
The remainder is 14 after subtracting 80 from 94.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 16

On to step 6:
If we divide 145 by 16, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 16159.0
Deduct 144 from 145 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 16, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 16159.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 16159.06
Subtracting 96 from 100 leaves us 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.

Going ahead to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 16159.062
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 16159.0625
If we take 80 away from 80, 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.

Let's proceed to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16159.0625
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.

Going ahead to step 12:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16159.0625
Subtracting 0 from 0 leaves us 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 16159.0625 with a balance of 0.0.