659973 divided by 83 
Our goal is to divide 659973 by 83.

Step 1:
When dividing 6 by 83, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 83

On to step 2:
When dividing 65 by 83, we get 0 with a remainder of 65.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Grab the next digit (9) from the dividend, add it to 65, then carry on: 659 / 83

Going ahead to step 3:
659 divided by 83 is 7 with a remainder of 78.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 581 from 659 and we're left with 78.
Grab the next digit (9) from the dividend, add it to 78, then carry on: 789 / 83

Step 4:
83 can be fit into 789 9 times, resulting in a remainder of 42.
The next digit of our result is 9. 
Result so far: 79.0
If we take 747 away from 789, we end up with 42.
Bring next digit (7) of the dividend behind the 42 and repeat the process: 427 / 83

Going ahead to step 5:
If we divide 427 by 83, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 795.0
If we take 415 away from 427, we end up with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 83

Moving on to step 6:
83 goes into 123 1 times with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 7951.0
Subtracting 83 from 123 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
The number 83 fits into 400 4 times, leaving a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 7951.4
Subtracting 332 from 400 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.

Let's proceed to step 8:
83 can be fit into 680 8 times, resulting in a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 7951.48
The remainder is 16 after subtracting 664 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
If we divide 160 by 83, we get 1 and a remainder of 77.
Write down 1 as next digit of the result. 
Result so far: 7951.481
Subtract 83 from 160 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 10:
83 can be fit into 770 9 times, resulting in a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 7951.4819
If we take 747 away from 770, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 11:
When dividing 230 by 83, we get 2 with a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 7951.48192
If we subtract 166 from 230, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
When dividing 640 by 83, we get 7 with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 7951.481927
If we take 581 away from 640, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 13:
The number 83 fits into 590 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 7951.4819277
The remainder is 9 after subtracting 581 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final outcome is 7951.4819277, with a leftover of 9e-08.