We look at the division of 617324 by 6 
Our goal is to divide 617324 by 6.

Let's proceed to step 1:
6 can be fit into 6 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 6

Step 2:
6 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 6

Step 3:
6 can be fit into 17 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 102.0
Deduct 12 from 17 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 6

Moving on to step 4:
When dividing 53 by 6, we get 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 1028.0
Deduct 48 from 53 and we're left with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 6

On to step 5:
If we divide 52 by 6, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 10288.0
If we take 48 away from 52, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 6

Advancing to step 6:
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: 102887.0
If we subtract 42 from 44, we 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.

Going ahead to step 7:
6 goes into 20 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 102887.3
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.

Step 8:
20 divided by 6 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 102887.33
Subtracting 18 from 20 leaves us 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 final result is 102887.33 with a remainder of 0.002.