We divide 637636 by 16
We want to figure out the number of times 637636 can be divided by 16.

On to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 16

Let's proceed to step 2:
The number 16 fits into 63 3 times, leaving a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 48 from 63 and we're left with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 16

Advancing to step 3:
The number 16 fits into 157 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
Subtract 144 from 157 to get 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 16

Step 4:
The number 16 fits into 136 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 398.0
Subtracting 128 from 136 leaves us with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 16

Moving on to step 5:
16 can be fit into 83 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 3985.0
Deduct 80 from 83 and we're left with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 16

On to step 6:
When dividing 36 by 16, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 39852.0
If we take 32 away from 36, 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.

Going ahead to step 7:
40 divided by 16 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 39852.2
Subtracting 32 from 40 leaves us 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.

On to step 8:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 39852.25
Deduct 80 from 80 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.

Going ahead to step 9:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 39852.25
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.

Moving on to step 10:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 39852.25
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.

The final result is 39852.25 with a remainder of 0.0.