Let's divide 636338 by 8
Our goal is to divide 636338 by 8.

Going ahead to step 1:
8 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in 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 / 8

On to step 2:
8 goes into 63 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 56 from 63 leaves us with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 8

Advancing to step 3:
If we divide 76 by 8, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
Deduct 72 from 76 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 8

Let's proceed to step 4:
8 goes into 43 5 times with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 795.0
The remainder is 3 after subtracting 40 from 43.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 8

Going ahead to step 5:
If we divide 33 by 8, we get 4 and a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 7954.0
Subtracting 32 from 33 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 8

Let's proceed to step 6:
When dividing 18 by 8, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 79542.0
Subtract 16 from 18 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
The number 8 fits into 20 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 79542.2
If we subtract 16 from 20, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
40 divided by 8 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 79542.25
Subtracting 40 from 40 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.

Let's proceed to step 9:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 79542.25
The remainder is 0 after subtracting 0 from 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:
8 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 79542.25
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 79542.25 with a balance of 0.0.