259510 divided by 16 
We want to divide 259510 by 16.

Let's proceed to step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 16

On to step 2:
The number 16 fits into 25 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 16 from 25 and we're left with 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 16

Step 3:
16 can be fit into 99 6 times, resulting in a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 3 after subtracting 96 from 99.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 16

Let's proceed to step 4:
When dividing 35 by 16, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 162.0
The remainder is 3 after subtracting 32 from 35.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 16

Moving on to step 5:
16 can be fit into 31 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 1621.0
If we subtract 16 from 31, we get 15.
Include the next digit (0) from the dividend after 15, then repeat: 150 / 16

Step 6:
If we divide 150 by 16, we get 9 and a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 16219.0
Subtracting 144 from 150 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
16 can be fit into 60 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 16219.3
Deduct 48 from 60 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
16 goes into 120 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 16219.37
If we take 112 away from 120, we end up with 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 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 16219.375
Subtracting 80 from 80 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.

Advancing to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16219.375
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.

Step 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 16219.375
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.

After the division, we end up with 16219.375 and a remainder of 0.0.