584503 ÷ 6 
We want to figure out the number of times 584503 can be divided by 6.

Moving on to step 1:
6 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 6

Moving on to step 2:
The number 6 fits into 58 9 times, leaving a remainder of 4.
The next digit of our result is 9. 
Result so far: 9.0
If we take 54 away from 58, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 6

Step 3:
The number 6 fits into 44 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 97.0
If we subtract 42 from 44, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 6

Going ahead to step 4:
The number 6 fits into 25 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 974.0
If we subtract 24 from 25, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 6

Let's proceed to step 5:
10 divided by 6 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 9741.0
Subtracting 6 from 10 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 6

Step 6:
6 can be fit into 43 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 97417.0
If we subtract 42 from 43, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 97417.1
If we take 6 away from 10, we end up 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.

On to step 8:
If we divide 40 by 6, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 97417.16
If we subtract 36 from 40, 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.

Let's proceed to step 9:
If we divide 40 by 6, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 97417.166
If we subtract 36 from 40, 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.

The final outcome is 97417.166, with a leftover of 0.0004.