We look at the division of 337268 by 16 
We want to divide 337268 by 16.

Let's proceed to step 1:
16 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 16

Going ahead to step 2:
The number 16 fits into 33 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 32 from 33 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 16

On to step 3:
16 goes into 17 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Deduct 16 from 17 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 16

Step 4:
The number 16 fits into 12 0 times, leaving a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 210.0
Deduct 0 from 12 and we're left with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 16

Moving on to step 5:
16 can be fit into 126 7 times, resulting in a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 2107.0
The remainder is 14 after subtracting 112 from 126.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 16

Moving on to step 6:
16 goes into 148 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 21079.0
If we take 144 away from 148, we end up 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.

On to step 7:
16 goes into 40 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 21079.2
Subtract 32 from 40 to 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.

Let's proceed to step 8:
If we divide 80 by 16, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 21079.25
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.

Let's proceed to step 9:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 21079.25
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.

On to step 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 21079.25
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.

The final result is 21079.25 with a remainder of 0.0.