357668 ÷ 8 
Our goal is to divide 357668 by 8.

Advancing to step 1:
The number 8 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 8

Going ahead to step 2:
If we divide 35 by 8, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 32 from 35, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 8

Let's proceed to step 3:
The number 8 fits into 37 4 times, leaving a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 44.0
The remainder is 5 after subtracting 32 from 37.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 8

Moving on to step 4:
8 can be fit into 56 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 447.0
If we take 56 away from 56, we end up with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 8

On to step 5:
The number 8 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 4470.0
Subtract 0 from 6 to get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 8

Advancing to step 6:
If we divide 68 by 8, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 44708.0
Deduct 64 from 68 and we're left 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.

Moving on to step 7:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 44708.5
Deduct 40 from 40 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.

Let's proceed to step 8:
When dividing 0 by 8, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 44708.5
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.

Step 9:
0 divided by 8 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 44708.5
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.

The final result is 44708.5 with a remainder of 0.0.