We look at the division of 681905 by 78 
Let's see how many times 78 fits into 681905.

Going ahead to step 1:
78 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 78

Moving on to 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.
Append the next digit (1) from the dividend to 68 and continue with: 681 / 78

On to step 3:
When dividing 681 by 78, we get 8 with a remainder of 57.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 624 from 681, we get 57.
Bring next digit (9) of the dividend behind the 57 and repeat the process: 579 / 78

Step 4:
When dividing 579 by 78, we get 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
Deduct 546 from 579 and we're left with 33.
Grab the next digit (0) from the dividend, add it to 33, then carry on: 330 / 78

Advancing to step 5:
When dividing 330 by 78, we get 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 874.0
If we subtract 312 from 330, we get 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 78

Going ahead to step 6:
When dividing 185 by 78, we get 2 with a remainder of 29.
Put 2 as the next digit of the answer. 
Result so far: 8742.0
If we subtract 156 from 185, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
78 goes into 290 3 times with a remainder of 56.
The next digit of our result is 3. 
Result so far: 8742.3
Subtracting 234 from 290 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
560 divided by 78 is 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 8742.37
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
The number 78 fits into 140 1 times, leaving a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 8742.371
If we subtract 78 from 140, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
If we divide 620 by 78, we get 7 and a remainder of 74.
Put 7 as the next digit of the answer. 
Result so far: 8742.3717
The remainder is 74 after subtracting 546 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 11:
78 can be fit into 740 9 times, resulting in a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 8742.37179
If we subtract 702 from 740, we 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.

Step 12:
78 goes into 380 4 times with a remainder of 68.
The next digit of our result is 4. 
Result so far: 8742.371794
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.

Going ahead to step 13:
When dividing 680 by 78, we get 8 with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 8742.3717948
If we take 624 away from 680, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 14:
If we divide 560 by 78, we get 7 and a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 8742.37179487
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 8742.37179487, and the remainder is 1.4e-08.