We look at the division of 517136 by 3 
We want to figure out the number of times 517136 can be divided by 3.

On to step 1:
If we divide 5 by 3, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

On to step 2:
The number 3 fits into 21 7 times, leaving a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we subtract 21 from 21, we get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Moving on to step 3:
3 goes into 7 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 172.0
Deduct 6 from 7 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 3

On to step 4:
11 divided by 3 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 1723.0
If we take 9 away from 11, we end up with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Let's proceed to step 5:
23 divided by 3 is 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 17237.0
Subtract 21 from 23 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Advancing to step 6:
26 divided by 3 is 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 172378.0
If we subtract 24 from 26, 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.

On to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 172378.6
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.

Let's proceed to step 8:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 172378.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 172378.66 with a remaining 0.002.