We look at the division of 679032 by 8 
We want to divide 679032 by 8.

Step 1:
6 divided by 8 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 8

Going ahead to step 2:
If we divide 67 by 8, we get 8 and a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 64 away from 67, we end up with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 8

Moving on to step 3:
When dividing 39 by 8, we get 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 84.0
If we take 32 away from 39, we end up with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 8

Step 4:
8 goes into 70 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 848.0
Subtracting 64 from 70 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 8

Step 5:
63 divided by 8 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 8487.0
Deduct 56 from 63 and we're left with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 8

Moving on to step 6:
The number 8 fits into 72 9 times, leaving a remainder of 0.
The next digit of our result is 9. 
Result so far: 84879.0
Subtracting 72 from 72 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 7:
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: 84879.0
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.

Let's proceed to step 8:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 84879.0
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.

After the division, we end up with 84879.0 and a remainder of 0.0.