We're dividing 175682 by 3 
We want to figure out the number of times 175682 can be divided by 3.

Step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

On to step 2:
17 divided by 3 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 2 after subtracting 15 from 17.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

On to step 3:
3 can be fit into 25 8 times, resulting in a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 58.0
Subtracting 24 from 25 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Moving on to step 4:
3 can be fit into 16 5 times, resulting in a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 585.0
The remainder is 1 after subtracting 15 from 16.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 3

Step 5:
3 goes into 18 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 5856.0
If we subtract 18 from 18, we get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

Advancing to step 6:
If we divide 2 by 3, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 58560.0
Subtracting 0 from 2 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.

Step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 58560.6
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.

Moving on to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 58560.66
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 final result is 58560.66 with a remainder of 0.002.