We're dividing 663422 by 6 
We want to figure out the number of times 663422 can be divided by 6.

Step 1:
If we divide 6 by 6, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 6

Going ahead to step 2:
When dividing 6 by 6, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 6 from 6 and we're left with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 6

On to step 3:
If we divide 3 by 6, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 6

Moving on to step 4:
The number 6 fits into 34 5 times, leaving a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 1105.0
Subtract 30 from 34 to get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 6

Advancing to step 5:
The number 6 fits into 42 7 times, leaving a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 11057.0
If we subtract 42 from 42, we get 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 6

Advancing to step 6:
6 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 110570.0
The remainder is 2 after subtracting 0 from 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 110570.3
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.

On to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 110570.33
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.

The quotient of the division is 110570.33, and the remainder is 0.002.