555259 ÷ 16 
Let's see how many times 16 fits into 555259.

Advancing to step 1:
16 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 16

On to step 2:
If we divide 55 by 16, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 48 from 55, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 16

Let's proceed to step 3:
16 can be fit into 75 4 times, resulting in a remainder of 11.
The next digit of our result is 4. 
Result so far: 34.0
If we subtract 64 from 75, we get 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 16

Moving on to step 4:
If we divide 112 by 16, we get 7 and a remainder of 0.
The next digit of our result is 7. 
Result so far: 347.0
If we subtract 112 from 112, we get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 16

Going ahead to step 5:
5 divided by 16 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 3470.0
If we take 0 away from 5, we end up with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 16

Let's proceed to step 6:
16 can be fit into 59 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 34703.0
The remainder is 11 after subtracting 48 from 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
110 divided by 16 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 34703.6
If we subtract 96 from 110, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
16 goes into 140 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 34703.68
The remainder is 12 after subtracting 128 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 34703.687
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.

Step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 34703.6875
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.

Step 11:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 34703.6875
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.

On to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 34703.6875
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.

The final outcome is 34703.6875, with a leftover of 0.0.