We look at the division of 307903 by 83 
Our goal is to divide 307903 by 83.

On to step 1:
When dividing 3 by 83, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 83

Going ahead to step 2:
If we divide 30 by 83, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 83

Moving on to step 3:
If we divide 307 by 83, we get 3 and a remainder of 58.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 58 after subtracting 249 from 307.
Append the next digit (9) from the dividend to 58 and continue with: 589 / 83

Let's proceed to step 4:
The number 83 fits into 589 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
If we take 581 away from 589, we end up with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 83

Step 5:
83 can be fit into 80 0 times, resulting in a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 370.0
Subtract 0 from 80 to get 80.
Grab the next digit (3) from the dividend, add it to 80, then carry on: 803 / 83

On to step 6:
If we divide 803 by 83, we get 9 and a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 3709.0
Subtract 747 from 803 to 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.

Advancing to step 7:
560 divided by 83 is 6 with a remainder of 62.
The next digit of our result is 6. 
Result so far: 3709.6
The remainder is 62 after subtracting 498 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 8:
If we divide 620 by 83, we get 7 and a remainder of 39.
Use 7 as the next digit of our solution. 
Result so far: 3709.67
Deduct 581 from 620 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
If we divide 390 by 83, we get 4 and a remainder of 58.
The number 4 becomes the next digit in our result. 
Result so far: 3709.674
If we subtract 332 from 390, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 10:
The number 83 fits into 580 6 times, leaving a remainder of 82.
The next digit of our result is 6. 
Result so far: 3709.6746
If we subtract 498 from 580, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 11:
83 can be fit into 820 9 times, resulting in a remainder of 73.
The next digit of our result is 9. 
Result so far: 3709.67469
Subtract 747 from 820 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 12:
When dividing 730 by 83, we get 8 with a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 3709.674698
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 13:
83 goes into 660 7 times with a remainder of 79.
Put 7 as the next digit of the answer. 
Result so far: 3709.6746987
Deduct 581 from 660 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 14:
83 goes into 790 9 times with a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 3709.67469879
Deduct 747 from 790 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final result is 3709.67469879 with a remainder of 4.3e-08.