We're dividing 634137 by 8 
We're looking to find how many times 8 goes into 634137.

Step 1:
6 divided by 8 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 8

Let's proceed to step 2:
When dividing 63 by 8, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 7 after subtracting 56 from 63.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 8

On to step 3:
74 divided by 8 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 79.0
The remainder is 2 after subtracting 72 from 74.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 8

Let's proceed to step 4:
When dividing 21 by 8, we get 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 792.0
If we take 16 away from 21, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 8

Moving on to step 5:
The number 8 fits into 53 6 times, leaving a remainder of 5.
The next digit of our result is 6. 
Result so far: 7926.0
If we take 48 away from 53, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 8

Let's proceed to step 6:
8 goes into 57 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 79267.0
If we take 56 away from 57, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
8 can be fit into 10 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 79267.1
Deduct 8 from 10 and we're left with 2.
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 8:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 79267.12
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.

Step 9:
40 divided by 8 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 79267.125
The remainder is 0 after subtracting 40 from 40.
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:
8 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 79267.125
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.

Going ahead to step 11:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 79267.125
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 outcome is 79267.125, with a leftover of 0.0.