515332 ÷ 3 
Our goal is to divide 515332 by 3.

Advancing to step 1:
The number 3 fits into 5 1 times, leaving a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 3 from 5 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

Advancing to step 2:
21 divided by 3 is 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 21 from 21 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

Step 3:
3 goes into 5 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 171.0
If we subtract 3 from 5, we get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 3

Let's proceed to step 4:
When dividing 23 by 3, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 1717.0
Subtracting 21 from 23 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 3

Moving on to step 5:
The number 3 fits into 23 7 times, leaving a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 17177.0
The remainder is 2 after subtracting 21 from 23.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Going ahead to step 6:
If we divide 22 by 3, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 171777.0
Subtract 21 from 22 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 3 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 171777.3
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 171777.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 171777.33 with a remaining 0.001.