636204 divided by 16 
We're looking to find how many times 16 goes into 636204.

Moving on to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 16

On to step 2:
The number 16 fits into 63 3 times, leaving 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.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 16

Going ahead to step 3:
156 divided by 16 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 39.0
Deduct 144 from 156 and we're left with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 16

Step 4:
16 can be fit into 122 7 times, resulting in a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 397.0
If we subtract 112 from 122, we get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 16

On to step 5:
When dividing 100 by 16, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 3976.0
Deduct 96 from 100 and we're left with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 16

Step 6:
16 can be fit into 44 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 39762.0
Subtracting 32 from 44 leaves us 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.

Going ahead to step 7:
16 goes into 120 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 39762.7
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.

Going ahead to step 8:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 39762.75
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:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 39762.75
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.

Step 10:
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: 39762.75
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 result is 39762.75 with a remainder of 0.0.