677669 ÷ 12 
Our goal is to divide 677669 by 12.

Step 1:
12 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 12

Going ahead to step 2:
67 divided by 12 is 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 60 from 67 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 12

Going ahead to step 3:
If we divide 77 by 12, we get 6 and a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 56.0
The remainder is 5 after subtracting 72 from 77.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 12

Let's proceed to step 4:
If we divide 56 by 12, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 564.0
If we take 48 away from 56, we end up with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 12

Moving on to step 5:
12 can be fit into 86 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 5647.0
If we subtract 84 from 86, we get 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 12

Going ahead to step 6:
When dividing 29 by 12, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 56472.0
Subtract 24 from 29 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
12 goes into 50 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 56472.4
The remainder is 2 after subtracting 48 from 50.
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:
12 can be fit into 20 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 56472.41
The remainder is 8 after subtracting 12 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
If we divide 80 by 12, we get 6 and a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 56472.416
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
The number 12 fits into 80 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 56472.4166
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 56472.4166 with a remaining 8e-05.