488978 ÷ 6 
Our goal is to divide 488978 by 6.

On to step 1:
The number 6 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 6

Going ahead to step 2:
If we divide 48 by 6, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 48 from 48 to get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 6

On to step 3:
6 can be fit into 8 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtracting 6 from 8 leaves us with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 6

Advancing to step 4:
If we divide 29 by 6, we get 4 and a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 814.0
Deduct 24 from 29 and we're left with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 6

Advancing to step 5:
The number 6 fits into 57 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 8149.0
If we subtract 54 from 57, we get 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 6

On to step 6:
The number 6 fits into 38 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 81496.0
Deduct 36 from 38 and we're left 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:
6 goes into 20 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 81496.3
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.

Let's proceed 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: 81496.33
Deduct 18 from 20 and we're left 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 81496.33, and the remainder is 0.002.