We look at the division of 778312 by 3 
We want to figure out the number of times 778312 can be divided by 3.

Advancing to step 1:
If we divide 7 by 3, we get 2 and a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 6 from 7 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

Advancing to step 2:
If we divide 17 by 3, we get 5 and a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
The remainder is 2 after subtracting 15 from 17.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 3

Step 3:
If we divide 28 by 3, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 259.0
Subtract 27 from 28 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Advancing to step 4:
3 can be fit into 13 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 2594.0
The remainder is 1 after subtracting 12 from 13.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Moving on to step 5:
11 divided by 3 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 25943.0
Deduct 9 from 11 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

On to step 6:
The number 3 fits into 22 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 259437.0
Deduct 21 from 22 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.

Moving on to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 259437.3
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.

Advancing to step 8:
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: 259437.33
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.

The final outcome is 259437.33, with a leftover of 0.001.