We're dividing 535319 by 3 
We're looking to find how many times 3 goes into 535319.

Let's proceed to step 1:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 3 from 5 to get 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Step 2:
The number 3 fits into 23 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we subtract 21 from 23, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Step 3:
The number 3 fits into 25 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.0
Deduct 24 from 25 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

Moving on to step 4:
3 can be fit into 13 4 times, resulting in a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 1784.0
Deduct 12 from 13 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Step 5:
3 can be fit into 11 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 17843.0
If we take 9 away from 11, we end up with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 3

Step 6:
If we divide 29 by 3, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 178439.0
If we take 27 away from 29, we end up 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 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 178439.6
If we take 18 away from 20, we end up 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.

Let's proceed to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 178439.66
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.

The final result is 178439.66 with a remainder of 0.002.