515222 ÷ 3 
Our goal is to divide 515222 by 3.

Step 1:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

Going ahead to step 2:
3 goes into 21 7 times with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Deduct 21 from 21 and we're left with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

On to step 3:
When dividing 5 by 3, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
Subtracting 3 from 5 leaves us with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 3

Advancing to step 4:
When dividing 22 by 3, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 1717.0
If we take 21 away from 22, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 3

Advancing to step 5:
When dividing 12 by 3, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 17174.0
If we take 12 away from 12, we end up with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 3

Advancing to step 6:
When dividing 2 by 3, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 171740.0
The remainder is 2 after subtracting 0 from 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 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 171740.6
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.

Advancing to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 171740.66
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.

The final result is 171740.66 with a remainder of 0.002.