We're dividing 257335 by 16 
We're looking to find how many times 16 goes into 257335.

Moving on to step 1:
2 divided by 16 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 16

Step 2:
If we divide 25 by 16, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 16 from 25 leaves us with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 16

Let's proceed to step 3:
97 divided by 16 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtract 96 from 97 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 16

Going ahead to step 4:
If we divide 13 by 16, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 160.0
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 16

Let's proceed to step 5:
The number 16 fits into 133 8 times, leaving a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 1608.0
If we take 128 away from 133, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 16

On to step 6:
16 can be fit into 55 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 16083.0
Subtract 48 from 55 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
If we divide 70 by 16, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 16083.4
If we subtract 64 from 70, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
16 goes into 60 3 times with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 16083.43
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.

Step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 16083.437
If we subtract 112 from 120, 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.

Advancing to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 16083.4375
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.

Going ahead to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 16083.4375
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 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16083.4375
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.

After the division, we end up with 16083.4375 and a remainder of 0.0.