We look at the division of 349009 by 83 
We want to divide 349009 by 83.

Step 1:
83 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 83

On to step 2:
The number 83 fits into 34 0 times, leaving a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 83

Step 3:
If we divide 349 by 83, we get 4 and a remainder of 17.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 332 from 349, we get 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 83

On to step 4:
170 divided by 83 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 166 from 170 and we're left with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 83

Step 5:
The number 83 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 420.0
If we subtract 0 from 40, we get 40.
Take the next digit (9) from the dividend and append it to 40, then repeat: 409 / 83

Advancing to step 6:
If we divide 409 by 83, we get 4 and a remainder of 77.
The number 4 becomes the next digit in our result. 
Result so far: 4204.0
Subtracting 332 from 409 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.

Step 7:
83 goes into 770 9 times with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 4204.9
Subtracting 747 from 770 leaves us 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.

Step 8:
The number 83 fits into 230 2 times, leaving a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 4204.92
Deduct 166 from 230 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 9:
83 can be fit into 640 7 times, resulting in a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 4204.927
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.

On to step 10:
The number 83 fits into 590 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 4204.9277
Subtract 581 from 590 to 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.

The final result is 4204.9277 with a remainder of 9e-05.