689041 ÷ 83 
Our goal is to divide 689041 by 83.

Going ahead to step 1:
6 divided by 83 is 0 with a remainder of 6.
The next digit of our result is 0. 
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 / 83

Going ahead to step 2:
83 can be fit into 68 0 times, resulting in a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Append the next digit (9) from the dividend to 68 and continue with: 689 / 83

Moving on to step 3:
The number 83 fits into 689 8 times, leaving a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 664 away from 689, we end up with 25.
Append the next digit (0) from the dividend to 25 and continue with: 250 / 83

Moving on to step 4:
83 goes into 250 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 83.0
Subtracting 249 from 250 leaves us with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 83

Going ahead to step 5:
83 can be fit into 14 0 times, resulting in a remainder of 14.
The next digit of our result is 0. 
Result so far: 830.0
If we take 0 away from 14, we end up with 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 83

Moving on to step 6:
The number 83 fits into 141 1 times, leaving a remainder of 58.
The number 1 becomes the next digit in our result. 
Result so far: 8301.0
Subtract 83 from 141 to get 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 7:
If we divide 580 by 83, we get 6 and a remainder of 82.
Record the quotient 6 as the next digit in the result. 
Result so far: 8301.6
If we take 498 away from 580, we end up 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.

On to step 8:
83 goes into 820 9 times with a remainder of 73.
Use 9 as the next digit of our solution. 
Result so far: 8301.69
Subtract 747 from 820 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 9:
83 can be fit into 730 8 times, resulting in a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 8301.698
Subtract 664 from 730 to get 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 10:
The number 83 fits into 660 7 times, leaving a remainder of 79.
Record the quotient 7 as the next digit in the result. 
Result so far: 8301.6987
Subtract 581 from 660 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 11:
If we divide 790 by 83, we get 9 and a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 8301.69879
The remainder is 43 after subtracting 747 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 12:
83 can be fit into 430 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 8301.698795
The remainder is 15 after subtracting 415 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
The number 83 fits into 150 1 times, leaving a remainder of 67.
Write down 1 as next digit of the result. 
Result so far: 8301.6987951
Subtract 83 from 150 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 14:
83 can be fit into 670 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 8301.69879518
Subtracting 664 from 670 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 8301.69879518 with a balance of 6e-09.