We look at the division of 678375 by 71 
Let's see how many times 71 fits into 678375.

Let's proceed to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 71

On to step 2:
The number 71 fits into 67 0 times, leaving a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Include the next digit (8) from the dividend after 67, then repeat: 678 / 71

Going ahead to step 3:
If we divide 678 by 71, we get 9 and a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 639 away from 678, we end up with 39.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 71

Going ahead to step 4:
If we divide 393 by 71, we get 5 and a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 95.0
The remainder is 38 after subtracting 355 from 393.
Grab the next digit (7) from the dividend, add it to 38, then carry on: 387 / 71

Advancing to step 5:
If we divide 387 by 71, we get 5 and a remainder of 32.
Put 5 as the next digit of the answer. 
Result so far: 955.0
If we subtract 355 from 387, we get 32.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 71

Let's proceed to step 6:
If we divide 325 by 71, we get 4 and a remainder of 41.
Put 4 as the next digit of the answer. 
Result so far: 9554.0
Subtracting 284 from 325 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
The number 71 fits into 410 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 9554.5
If we subtract 355 from 410, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
71 goes into 550 7 times with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 9554.57
Deduct 497 from 550 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 9:
530 divided by 71 is 7 with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 9554.577
Deduct 497 from 530 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

In conclusion, the division gives 9554.577 with a balance of 0.0033.