679441 ÷ 83 
Our goal is to divide 679441 by 83.

Advancing to step 1:
83 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 83

Advancing to step 2:
67 divided by 83 is 0 with a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 67, we get 67.
Grab the next digit (9) from the dividend, add it to 67, then carry on: 679 / 83

Advancing to step 3:
The number 83 fits into 679 8 times, leaving a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 664 from 679 to get 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 83

Moving on to step 4:
The number 83 fits into 154 1 times, leaving a remainder of 71.
Use 1 as the next digit of our solution. 
Result so far: 81.0
If we subtract 83 from 154, we get 71.
Include the next digit (4) from the dividend after 71, then repeat: 714 / 83

Moving on to step 5:
714 divided by 83 is 8 with a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 818.0
Subtracting 664 from 714 leaves us with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 83

Step 6:
83 goes into 501 6 times with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 8186.0
If we take 498 away from 501, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
83 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 8186.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 83 fits into 300 3 times, leaving a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 8186.03
The remainder is 51 after subtracting 249 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
If we divide 510 by 83, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 8186.036
Deduct 498 from 510 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
If we divide 120 by 83, we get 1 and a remainder of 37.
The next digit of our result is 1. 
Result so far: 8186.0361
Subtract 83 from 120 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 11:
83 can be fit into 370 4 times, resulting in a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 8186.03614
Subtracting 332 from 370 leaves us with 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 12:
83 goes into 380 4 times with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 8186.036144
If we subtract 332 from 380, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final outcome is 8186.036144, with a leftover of 4.8e-06.