We're dividing 978514 by 3 
We're looking to find how many times 3 goes into 978514.

Advancing to step 1:
If we divide 9 by 3, we get 3 and a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 0 after subtracting 9 from 9.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Let's proceed to step 2:
If we divide 7 by 3, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 32.0
If we subtract 6 from 7, we get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 3

Let's proceed to step 3:
3 goes into 18 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 326.0
The remainder is 0 after subtracting 18 from 18.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 3

Step 4:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 3261.0
Subtracting 3 from 5 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Advancing to step 5:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 32617.0
Subtract 21 from 21 to get 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

On to step 6:
3 can be fit into 4 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 326171.0
If we subtract 3 from 4, 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.

Let's proceed to step 7:
10 divided by 3 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 326171.3
The remainder is 1 after subtracting 9 from 10.
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 8:
10 divided by 3 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 326171.33
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.

In conclusion, the division gives 326171.33 with a balance of 0.001.