682477 ÷ 78 
Our goal is to divide 682477 by 78.

On to step 1:
78 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 78

On to step 2:
The number 78 fits into 68 0 times, leaving a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Append the next digit (2) from the dividend to 68 and continue with: 682 / 78

Step 3:
The number 78 fits into 682 8 times, leaving a remainder of 58.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 624 away from 682, we end up with 58.
Fetch the next digit (4) from the dividend, attach it to 58 and continue: 584 / 78

On to step 4:
584 divided by 78 is 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 87.0
Deduct 546 from 584 and we're left with 38.
Fetch the next digit (7) from the dividend, attach it to 38 and continue: 387 / 78

Let's proceed to step 5:
387 divided by 78 is 4 with a remainder of 75.
Record the quotient 4 as the next digit in the result. 
Result so far: 874.0
If we subtract 312 from 387, we get 75.
Include the next digit (7) from the dividend after 75, then repeat: 757 / 78

Let's proceed to step 6:
If we divide 757 by 78, we get 9 and a remainder of 55.
Record the quotient 9 as the next digit in the result. 
Result so far: 8749.0
The remainder is 55 after subtracting 702 from 757.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 7:
The number 78 fits into 550 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 8749.7
Subtract 546 from 550 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
78 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 8749.7
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
400 divided by 78 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8749.705
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
When dividing 100 by 78, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 8749.7051
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
78 can be fit into 220 2 times, resulting in a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 8749.70512
If we subtract 156 from 220, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 12:
If we divide 640 by 78, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 8749.705128
If we subtract 624 from 640, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
When dividing 160 by 78, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 8749.7051282
Subtracting 156 from 160 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
40 divided by 78 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 8749.7051282
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 8749.7051282 with a balance of 4e-08.