We're dividing 677864 by 6 
Let's see how many times 6 fits into 677864.

Step 1:
If we divide 6 by 6, we get 1 and a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 6 from 6 leaves us with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 6

Moving on to step 2:
When dividing 7 by 6, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 6 from 7 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 6

Let's proceed to step 3:
17 divided by 6 is 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
The remainder is 5 after subtracting 12 from 17.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 6

Step 4:
The number 6 fits into 58 9 times, leaving a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 1129.0
If we take 54 away from 58, we end up with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 6

Let's proceed to step 5:
46 divided by 6 is 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 11297.0
Deduct 42 from 46 and we're left with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 6

On to step 6:
The number 6 fits into 44 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 112977.0
If we take 42 away from 44, we end up 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.

Advancing to step 7:
20 divided by 6 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 112977.3
Subtracting 18 from 20 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.

Going ahead to step 8:
20 divided by 6 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 112977.33
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 112977.33, and the remainder is 0.002.