We're dividing 684265 by 83 
We want to divide 684265 by 83.

Let's proceed to step 1:
83 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 83

On to step 2:
The number 83 fits into 68 0 times, leaving a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 68, we end up with 68.
Take the next digit (4) from the dividend and append it to 68, then repeat: 684 / 83

Step 3:
When dividing 684 by 83, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 664 from 684 and we're left with 20.
Append the next digit (2) from the dividend to 20 and continue with: 202 / 83

Going ahead to step 4:
If we divide 202 by 83, we get 2 and a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 82.0
Subtracting 166 from 202 leaves us with 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 83

On to step 5:
The number 83 fits into 366 4 times, leaving a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 824.0
Subtract 332 from 366 to get 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 83

Advancing to step 6:
When dividing 345 by 83, we get 4 with a remainder of 13.
The next digit of our result is 4. 
Result so far: 8244.0
If we subtract 332 from 345, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 83 is 1 with a remainder of 47.
Record the quotient 1 as the next digit in the result. 
Result so far: 8244.1
If we take 83 away from 130, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 8:
470 divided by 83 is 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 8244.15
Subtracting 415 from 470 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 9:
When dividing 550 by 83, we get 6 with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 8244.156
Subtract 498 from 550 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
83 can be fit into 520 6 times, resulting in a remainder of 22.
The next digit of our result is 6. 
Result so far: 8244.1566
Deduct 498 from 520 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 8244.1566 with a remainder of 0.00022.