We're dividing 677278 by 12 
We're looking to find how many times 12 goes into 677278.

Let's proceed to step 1:
If we divide 6 by 12, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 12

Advancing to step 2:
12 can be fit into 67 5 times, resulting in a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 60 from 67, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 12

Advancing to step 3:
12 goes into 77 6 times with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we subtract 72 from 77, we get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 12

On to step 4:
When dividing 52 by 12, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 564.0
If we take 48 away from 52, we end up with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 12

On to step 5:
47 divided by 12 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 5643.0
Subtracting 36 from 47 leaves us with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 12

Advancing to step 6:
118 divided by 12 is 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 56439.0
If we subtract 108 from 118, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
12 can be fit into 100 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 56439.8
The remainder is 4 after subtracting 96 from 100.
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:
12 goes into 40 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 56439.83
Deduct 36 from 40 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.

Going ahead to step 9:
If we divide 40 by 12, we get 3 and a remainder of 4.
The next digit of our result is 3. 
Result so far: 56439.833
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 56439.833 with a remainder of 0.0004.