Let's divide 406664 by 6
We want to divide 406664 by 6.

Going ahead to step 1:
If we divide 4 by 6, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 6

Let's proceed to step 2:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 36 from 40, we get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 6

Step 3:
The number 6 fits into 46 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 67.0
Deduct 42 from 46 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 6

Let's proceed to step 4:
6 goes into 46 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 677.0
If we take 42 away from 46, we end up with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Moving on to step 5:
6 goes into 46 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 6777.0
If we take 42 away from 46, we end up with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 6

Going ahead to step 6:
6 goes into 44 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 67777.0
The remainder is 2 after subtracting 42 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
6 goes into 20 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 67777.3
If we take 18 away from 20, 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.

Going ahead to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
The next digit of our result is 3. 
Result so far: 67777.33
Subtract 18 from 20 to 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.

Our division results in 67777.33 with a remaining 0.002.