We're dividing 584993 by 6 
Our goal is to divide 584993 by 6.

Moving on to step 1:
If we divide 5 by 6, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 6

Advancing to step 2:
58 divided by 6 is 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 54 from 58 and we're left with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 6

Going ahead to step 3:
If we divide 44 by 6, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
If we take 42 away from 44, we end up with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Moving on to step 4:
29 divided by 6 is 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 974.0
Deduct 24 from 29 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 6

On to step 5:
If we divide 59 by 6, we get 9 and a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 9749.0
Subtract 54 from 59 to get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 6

Step 6:
53 divided by 6 is 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 97498.0
Subtracting 48 from 53 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
6 goes into 50 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 97498.8
The remainder is 2 after subtracting 48 from 50.
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:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 97498.83
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.

Advancing to step 9:
6 goes into 20 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 97498.833
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.

The quotient of the division is 97498.833, and the remainder is 0.0002.