We look at the division of 259712 by 16 
We want to figure out the number of times 259712 can be divided by 16.

Let's proceed to step 1:
If we divide 2 by 16, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
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:
16 can be fit into 25 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 16 away from 25, we end up with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 16

On to step 3:
16 can be fit into 99 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
The remainder is 3 after subtracting 96 from 99.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 16

Step 4:
37 divided by 16 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 162.0
Subtract 32 from 37 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 16

Moving on to step 5:
16 can be fit into 51 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 1623.0
Deduct 48 from 51 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 16

On to step 6:
16 goes into 32 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 16232.0
If we take 32 away from 32, 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.

Going ahead to step 7:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 16232.0
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 8:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16232.0
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.

Our division results in 16232.0 with a remaining 0.0.