We're dividing 605225 by 83 
Our goal is to divide 605225 by 83.

Step 1:
If we divide 6 by 83, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 83

Moving on to step 2:
If we divide 60 by 83, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 60 and we're left with 60.
Bring next digit (5) of the dividend behind the 60 and repeat the process: 605 / 83

Moving on to step 3:
The number 83 fits into 605 7 times, leaving a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 581 from 605 and we're left with 24.
Include the next digit (2) from the dividend after 24, then repeat: 242 / 83

Let's proceed to step 4:
83 goes into 242 2 times with a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 72.0
Deduct 166 from 242 and we're left with 76.
Take the next digit (2) from the dividend and append it to 76, then repeat: 762 / 83

On to step 5:
83 can be fit into 762 9 times, resulting in a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 729.0
Deduct 747 from 762 and we're left with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 83

Going ahead to step 6:
83 goes into 155 1 times with a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 7291.0
If we subtract 83 from 155, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 7:
720 divided by 83 is 8 with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 7291.8
If we subtract 664 from 720, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 8:
When dividing 560 by 83, we get 6 with a remainder of 62.
Record the quotient 6 as the next digit in the result. 
Result so far: 7291.86
If we take 498 away from 560, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 9:
When dividing 620 by 83, we get 7 with a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 7291.867
The remainder is 39 after subtracting 581 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 10:
If we divide 390 by 83, we get 4 and a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 7291.8674
The remainder is 58 after subtracting 332 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 11:
83 can be fit into 580 6 times, resulting in a remainder of 82.
Write down 6 as next digit of the result. 
Result so far: 7291.86746
If we take 498 away from 580, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 12:
820 divided by 83 is 9 with a remainder of 73.
Record the quotient 9 as the next digit in the result. 
Result so far: 7291.867469
Deduct 747 from 820 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 13:
730 divided by 83 is 8 with a remainder of 66.
Use 8 as the next digit of our solution. 
Result so far: 7291.8674698
If we take 664 away from 730, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 14:
When dividing 660 by 83, we get 7 with a remainder of 79.
The next digit of our result is 7. 
Result so far: 7291.86746987
The remainder is 79 after subtracting 581 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Our division results in 7291.86746987 with a remaining 7.9e-08.