We divide 815419 by 3
Our goal is to divide 815419 by 3.

Step 1:
When dividing 8 by 3, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 6 from 8 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

On to step 2:
3 can be fit into 21 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 27.0
Subtracting 21 from 21 leaves us with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Let's proceed to step 3:
5 divided by 3 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 271.0
Subtract 3 from 5 to get 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 3

Advancing to step 4:
If we divide 24 by 3, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 2718.0
The remainder is 0 after subtracting 24 from 24.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 3

On to step 5:
3 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 27180.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Step 6:
3 can be fit into 19 6 times, resulting in a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 271806.0
If we take 18 away from 19, 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.

Going ahead to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 271806.3
Subtracting 9 from 10 leaves us 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.

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: 271806.33
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 271806.33 with a remaining 0.001.