We're dividing 637334 by 16 
Our goal is to divide 637334 by 16.

Going ahead to step 1:
If we divide 6 by 16, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 16

Moving on to step 2:
If we divide 63 by 16, we get 3 and a remainder of 15.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 15 after subtracting 48 from 63.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 16

Going ahead to step 3:
16 goes into 157 9 times with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
Subtract 144 from 157 to get 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 16

Let's proceed to step 4:
133 divided by 16 is 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 398.0
If we take 128 away from 133, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 16

On to step 5:
When dividing 53 by 16, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3983.0
The remainder is 5 after subtracting 48 from 53.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 16

Step 6:
When dividing 54 by 16, we get 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 39833.0
If we take 48 away from 54, we end up 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.

Step 7:
If we divide 60 by 16, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 39833.3
If we subtract 48 from 60, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
When dividing 120 by 16, we get 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 39833.37
Deduct 112 from 120 and we're left 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.

Let's proceed to step 9:
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: 39833.375
The remainder is 0 after subtracting 80 from 80.
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:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39833.375
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.

Let's proceed to step 11:
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: 39833.375
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.

The final outcome is 39833.375, with a leftover of 0.0.