We look at the division of 175116 by 3 
We're looking to find how many times 3 goes into 175116.

Let's proceed to step 1:
3 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

On to step 2:
3 can be fit into 17 5 times, resulting in a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 15 from 17 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

On to step 3:
3 goes into 25 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 58.0
If we take 24 away from 25, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Going ahead to step 4:
When dividing 11 by 3, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 583.0
The remainder is 2 after subtracting 9 from 11.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Let's proceed to step 5:
3 can be fit into 21 7 times, resulting in a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 5837.0
If we subtract 21 from 21, we get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

On to step 6:
3 goes into 6 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 58372.0
The remainder is 0 after subtracting 6 from 6.
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 7:
When dividing 0 by 3, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 58372.0
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.

On to step 8:
3 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 58372.0
Subtracting 0 from 0 leaves us 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.

The final outcome is 58372.0, with a leftover of 0.0.