We're dividing 668738 by 8 
We want to divide 668738 by 8.

Step 1:
8 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 8

Let's proceed to step 2:
When dividing 66 by 8, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 64 from 66 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 8

Step 3:
8 goes into 28 3 times with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 83.0
If we take 24 away from 28, we end up with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 8

Advancing to step 4:
If we divide 47 by 8, we get 5 and a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 835.0
If we take 40 away from 47, we end up with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 8

Step 5:
If we divide 73 by 8, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8359.0
Subtract 72 from 73 to get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 8

On to step 6:
8 goes into 18 2 times with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 83592.0
Subtracting 16 from 18 leaves us 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.

On to step 7:
8 can be fit into 20 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 83592.2
Subtract 16 from 20 to 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.

Let's proceed to step 8:
If we divide 40 by 8, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 83592.25
If we take 40 away from 40, 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.

Advancing to step 9:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 83592.25
Subtracting 0 from 0 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.

Moving on to step 10:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 83592.25
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 83592.25 with a balance of 0.0.