We look at the division of 637155 by 8 
We want to figure out the number of times 637155 can be divided by 8.

Going ahead to step 1:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 8

Step 2:
If we divide 63 by 8, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 7 after subtracting 56 from 63.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 8

Advancing to step 3:
If we divide 77 by 8, we get 9 and a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 79.0
Subtract 72 from 77 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 8

Going ahead to step 4:
8 goes into 51 6 times with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 796.0
Subtract 48 from 51 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 8

Going ahead to step 5:
If we divide 35 by 8, we get 4 and a remainder of 3.
The next digit of our result is 4. 
Result so far: 7964.0
If we subtract 32 from 35, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 8

Going ahead to step 6:
When dividing 35 by 8, we get 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 79644.0
Deduct 32 from 35 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
8 can be fit into 30 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 79644.3
Deduct 24 from 30 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
60 divided by 8 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 79644.37
If we take 56 away from 60, 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.

Step 9:
When dividing 40 by 8, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 79644.375
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.

Step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 79644.375
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.

Let's proceed to step 11:
If we divide 0 by 8, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 79644.375
If we subtract 0 from 0, we 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.

In conclusion, the division gives 79644.375 with a balance of 0.0.