We look at the division of 505226 by 3 
We're looking to find how many times 3 goes into 505226.

On 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
If we subtract 3 from 5, we get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 3

Going ahead to step 2:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we take 18 away from 20, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Advancing to step 3:
When dividing 25 by 3, we get 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 168.0
Deduct 24 from 25 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 3

Step 4:
If we divide 12 by 3, we get 4 and a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 1684.0
Subtract 12 from 12 to get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

On to step 5:
3 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 16840.0
If we subtract 0 from 2, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Advancing to step 6:
3 goes into 26 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 168408.0
If we take 24 away from 26, 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:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 168408.6
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.

Advancing 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: 168408.66
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.

After the division, we end up with 168408.66 and a remainder of 0.002.