We look at the division of 577329 by 6 
We want to figure out the number of times 577329 can be divided by 6.

On to step 1:
5 divided by 6 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 6

Going ahead to step 2:
57 divided by 6 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 54 from 57 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 6

On to step 3:
When dividing 37 by 6, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Subtracting 36 from 37 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 6

Let's proceed to step 4:
6 can be fit into 13 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 962.0
Subtracting 12 from 13 leaves us with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 6

Advancing to step 5:
6 can be fit into 12 2 times, resulting in a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 9622.0
If we take 12 away from 12, we end up with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 6

Step 6:
9 divided by 6 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 96221.0
Subtract 6 from 9 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
6 can be fit into 30 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 96221.5
The remainder is 0 after subtracting 30 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
If we divide 0 by 6, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 96221.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
0 divided by 6 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 96221.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 96221.5 with a remainder of 0.0.