We're dividing 677386 by 8 
We want to divide 677386 by 8.

Moving on to step 1:
8 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 8

Moving on 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
Subtracting 64 from 67 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 8

Advancing to step 3:
8 can be fit into 37 4 times, resulting in a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 84.0
Deduct 32 from 37 and we're left with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 8

Let's proceed to step 4:
53 divided by 8 is 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 846.0
Subtracting 48 from 53 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 8

On to step 5:
If we divide 58 by 8, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 8467.0
Subtracting 56 from 58 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 8

On to step 6:
26 divided by 8 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 84673.0
If we subtract 24 from 26, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 8 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 84673.2
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 8:
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: 84673.25
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.

Going ahead to step 9:
The number 8 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 84673.25
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.

Going ahead to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 84673.25
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.

After the division, we end up with 84673.25 and a remainder of 0.0.