Let's divide 578116 by 3
We want to divide 578116 by 3.

Moving on to step 1:
If we divide 5 by 3, we get 1 and 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.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Let's proceed to step 2:
If we divide 27 by 3, we get 9 and a remainder of 0.
The next digit of our result is 9. 
Result so far: 19.0
Subtract 27 from 27 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 3

On to step 3:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 192.0
If we subtract 6 from 8, we get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Advancing to step 4:
3 goes into 21 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 1927.0
Subtract 21 from 21 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Step 5:
When dividing 1 by 3, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 19270.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 3

Let's proceed to step 6:
The number 3 fits into 16 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 192705.0
If we take 15 away from 16, 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.

Advancing to step 7:
3 goes into 10 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 192705.3
Subtract 9 from 10 to 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.

On to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 192705.33
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.

The final result is 192705.33 with a remainder of 0.001.