We look at the division of 637017 by 16 
We're looking to find how many times 16 goes into 637017.

Going ahead to step 1:
16 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 16

Going ahead to step 2:
16 goes into 63 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 48 from 63, we get 15.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 16

Moving on to step 3:
When dividing 157 by 16, we get 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 39.0
The remainder is 13 after subtracting 144 from 157.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 16

Let's proceed to step 4:
16 can be fit into 130 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 398.0
Subtracting 128 from 130 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 16

Moving on to step 5:
When dividing 21 by 16, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 3981.0
Deduct 16 from 21 and we're left with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 16

On to step 6:
57 divided by 16 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 39813.0
If we subtract 48 from 57, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
The number 16 fits into 90 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 39813.5
Subtracting 80 from 90 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
16 goes into 100 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 39813.56
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 39813.562
If we subtract 32 from 40, 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:
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: 39813.5625
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 11:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39813.5625
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.

Advancing to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 39813.5625
If we take 0 away from 0, 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.

Our division results in 39813.5625 with a remaining 0.0.