177731 ÷ 6 
We're looking to find how many times 6 goes into 177731.

Going ahead to step 1:
If we divide 1 by 6, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 6

Going ahead to step 2:
When dividing 17 by 6, we get 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 12 from 17 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 6

On to step 3:
57 divided by 6 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
Deduct 54 from 57 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Advancing to step 4:
37 divided by 6 is 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 296.0
If we subtract 36 from 37, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 6

Let's proceed to step 5:
13 divided by 6 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2962.0
Subtract 12 from 13 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 6

Advancing to step 6:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 29621.0
Subtract 6 from 11 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
6 goes into 50 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 29621.8
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:
When dividing 20 by 6, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 29621.83
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.

Going ahead to step 9:
20 divided by 6 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 29621.833
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.

The final outcome is 29621.833, with a leftover of 0.0002.