6672 divided by 9 
We want to divide 6672 by 9.

Let's proceed to step 1:
6 divided by 9 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 9

Going ahead to step 2:
When dividing 66 by 9, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 63 from 66, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 9

On to step 3:
The number 9 fits into 37 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 74.0
Subtracting 36 from 37 leaves us with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 9

Step 4:
9 can be fit into 12 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 741.0
If we take 9 away from 12, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 5:
If we divide 30 by 9, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 741.3
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 6:
When dividing 30 by 9, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 741.33
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 741.33, and the remainder is 0.003.