We divide 506269 by 3
We're looking to find how many times 3 goes into 506269.

Let's proceed to step 1:
3 goes into 5 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 3 from 5, we get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 3

Step 2:
When dividing 20 by 3, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 18 from 20, we get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Let's proceed to step 3:
3 goes into 26 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 168.0
Deduct 24 from 26 and we're left with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 3

Let's proceed to step 4:
3 can be fit into 22 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1687.0
Deduct 21 from 22 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

Going ahead to step 5:
3 goes into 16 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 16875.0
Subtract 15 from 16 to get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

Advancing to step 6:
The number 3 fits into 19 6 times, leaving a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 168756.0
Deduct 18 from 19 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.

Advancing to step 7:
10 divided by 3 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 168756.3
If we take 9 away from 10, we end up 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:
If we divide 10 by 3, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 168756.33
If we subtract 9 from 10, we 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.

After the division, we end up with 168756.33 and a remainder of 0.001.