677201 divided by 83 
Our goal is to divide 677201 by 83.

Moving on to step 1:
When dividing 6 by 83, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 83

On to step 2:
83 goes into 67 0 times with a remainder of 67.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 83

Advancing to step 3:
If we divide 677 by 83, we get 8 and a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 664 from 677, we get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 83

Let's proceed to step 4:
If we divide 132 by 83, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 81.0
Deduct 83 from 132 and we're left with 49.
Bring next digit (0) of the dividend behind the 49 and repeat the process: 490 / 83

Step 5:
83 goes into 490 5 times with a remainder of 75.
The next digit of our result is 5. 
Result so far: 815.0
Subtracting 415 from 490 leaves us with 75.
Bring next digit (1) of the dividend behind the 75 and repeat the process: 751 / 83

Advancing to step 6:
83 goes into 751 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 8159.0
Deduct 747 from 751 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
83 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8159.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
83 goes into 400 4 times with a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 8159.04
The remainder is 68 after subtracting 332 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
If we divide 680 by 83, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 8159.048
Subtracting 664 from 680 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
83 goes into 160 1 times with a remainder of 77.
Record the quotient 1 as the next digit in the result. 
Result so far: 8159.0481
Subtracting 83 from 160 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 11:
83 goes into 770 9 times with a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 8159.04819
The remainder is 23 after subtracting 747 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 12:
When dividing 230 by 83, we get 2 with a remainder of 64.
The next digit of our result is 2. 
Result so far: 8159.048192
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 13:
When dividing 640 by 83, we get 7 with a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 8159.0481927
Subtracting 581 from 640 leaves us 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.

Going ahead to step 14:
83 can be fit into 590 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 8159.04819277
If we subtract 581 from 590, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 8159.04819277 with a remaining 9e-09.