684095 ÷ 78 
Our goal is to divide 684095 by 78.

Let's proceed to step 1:
If we divide 6 by 78, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 78

Step 2:
When dividing 68 by 78, we get 0 with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Take the next digit (4) from the dividend and append it to 68, then repeat: 684 / 78

Advancing to step 3:
When dividing 684 by 78, we get 8 with a remainder of 60.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 624 from 684 and we're left with 60.
Append the next digit (0) from the dividend to 60 and continue with: 600 / 78

Going ahead to step 4:
The number 78 fits into 600 7 times, leaving a remainder of 54.
The next digit of our result is 7. 
Result so far: 87.0
If we take 546 away from 600, we end up with 54.
Append the next digit (9) from the dividend to 54 and continue with: 549 / 78

Moving on to step 5:
78 can be fit into 549 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 877.0
If we subtract 546 from 549, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 78

Going ahead to step 6:
78 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 8770.0
Subtracting 0 from 35 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
350 divided by 78 is 4 with a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 8770.4
Subtract 312 from 350 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
When dividing 380 by 78, we get 4 with a remainder of 68.
The next digit of our result is 4. 
Result so far: 8770.44
Subtracting 312 from 380 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final result is 8770.44 with a remainder of 0.068.