We look at the division of 670643 by 83 
We want to divide 670643 by 83.

Going ahead to step 1:
83 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 83

Let's proceed to step 2:
If we divide 67 by 83, we get 0 and a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 67 after subtracting 0 from 67.
Fetch the next digit (0) from the dividend, attach it to 67 and continue: 670 / 83

Advancing to step 3:
83 goes into 670 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 6 after subtracting 664 from 670.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 83

On to step 4:
83 can be fit into 66 0 times, resulting in a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 80.0
Subtract 0 from 66 to get 66.
Take the next digit (4) from the dividend and append it to 66, then repeat: 664 / 83

Step 5:
When dividing 664 by 83, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 808.0
Subtract 664 from 664 to get 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 83

Advancing to step 6:
If we divide 3 by 83, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 8080.0
The remainder is 3 after subtracting 0 from 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
83 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 8080.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
83 can be fit into 300 3 times, resulting in a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 8080.03
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.

Moving on to step 9:
When dividing 510 by 83, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 8080.036
The remainder is 12 after subtracting 498 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
When dividing 120 by 83, we get 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 8080.0361
The remainder is 37 after subtracting 83 from 120.
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:
370 divided by 83 is 4 with a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 8080.03614
If we subtract 332 from 370, 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.

Advancing to step 12:
The number 83 fits into 380 4 times, leaving a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 8080.036144
Subtracting 332 from 380 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 8080.036144 with a balance of 4.8e-06.