We divide 635138 by 16
We're looking to find how many times 16 goes into 635138.

Going ahead to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 16

Moving on to step 2:
When dividing 63 by 16, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 48 from 63 to get 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 16

On to step 3:
155 divided by 16 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 39.0
If we take 144 away from 155, we end up with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 16

Moving on to step 4:
16 goes into 111 6 times with a remainder of 15.
The next digit of our result is 6. 
Result so far: 396.0
The remainder is 15 after subtracting 96 from 111.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 16

On to step 5:
16 can be fit into 153 9 times, resulting in a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 3969.0
If we subtract 144 from 153, we get 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 16

Advancing to step 6:
If we divide 98 by 16, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 39696.0
The remainder is 2 after subtracting 96 from 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 39696.1
The remainder is 4 after subtracting 16 from 20.
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 8:
16 goes into 40 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 39696.12
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.

Step 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 39696.125
Subtract 80 from 80 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.

On to step 10:
16 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 39696.125
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 11:
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: 39696.125
Deduct 0 from 0 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.

In conclusion, the division gives 39696.125 with a balance of 0.0.