We look at the division of 76681 by 83 
We want to divide 76681 by 83.

Moving on to step 1:
The number 83 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 83

Step 2:
83 goes into 76 0 times with a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Take the next digit (6) from the dividend and append it to 76, then repeat: 766 / 83

On to step 3:
766 divided by 83 is 9 with a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 19 after subtracting 747 from 766.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 83

Going ahead to step 4:
If we divide 198 by 83, we get 2 and a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
The remainder is 32 after subtracting 166 from 198.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 83

On to step 5:
83 goes into 321 3 times with a remainder of 72.
Record the quotient 3 as the next digit in the result. 
Result so far: 923.0
If we take 249 away from 321, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 6:
The number 83 fits into 720 8 times, leaving a remainder of 56.
The next digit of our result is 8. 
Result so far: 923.8
Deduct 664 from 720 and we're left 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.

Advancing to step 7:
When dividing 560 by 83, we get 6 with a remainder of 62.
Write down 6 as next digit of the result. 
Result so far: 923.86
The remainder is 62 after subtracting 498 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 8:
The number 83 fits into 620 7 times, leaving a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 923.867
Deduct 581 from 620 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
When dividing 390 by 83, we get 4 with a remainder of 58.
Record the quotient 4 as the next digit in the result. 
Result so far: 923.8674
Subtracting 332 from 390 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
83 can be fit into 580 6 times, resulting in a remainder of 82.
Record the quotient 6 as the next digit in the result. 
Result so far: 923.86746
Subtracting 498 from 580 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 11:
820 divided by 83 is 9 with a remainder of 73.
Put 9 as the next digit of the answer. 
Result so far: 923.867469
If we take 747 away from 820, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 12:
730 divided by 83 is 8 with a remainder of 66.
Use 8 as the next digit of our solution. 
Result so far: 923.8674698
If we take 664 away from 730, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 13:
660 divided by 83 is 7 with a remainder of 79.
Use 7 as the next digit of our solution. 
Result so far: 923.86746987
If we take 581 away from 660, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

In conclusion, the division gives 923.86746987 with a balance of 7.9e-08.