We're dividing 608023 by 6 
Our goal is to divide 608023 by 6.

Let's proceed to step 1:
The number 6 fits into 6 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 6 from 6 leaves us with 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 6

Moving on to step 2:
6 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 0, we end up with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 6

On to step 3:
If we divide 8 by 6, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 101.0
Subtracting 6 from 8 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 6

Moving on to step 4:
20 divided by 6 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 1013.0
If we subtract 18 from 20, we get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 6

Let's proceed to step 5:
6 goes into 22 3 times with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 10133.0
If we subtract 18 from 22, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 6

On to step 6:
43 divided by 6 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 101337.0
Deduct 42 from 43 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
6 goes into 10 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 101337.1
If we subtract 6 from 10, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
6 goes into 40 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 101337.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 101337.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 101337.166, and the remainder is 0.0004.