We look at the division of 349219 by 83 
We want to divide 349219 by 83.

Going ahead to step 1:
83 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 83

Moving on to step 2:
83 goes into 34 0 times with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Take the next digit (9) from the dividend and append it to 34, then repeat: 349 / 83

Moving on to step 3:
349 divided by 83 is 4 with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 17 after subtracting 332 from 349.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 83

On to step 4:
When dividing 172 by 83, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtract 166 from 172 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 83

Going ahead to step 5:
83 goes into 61 0 times with a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 420.0
If we subtract 0 from 61, we get 61.
Bring next digit (9) of the dividend behind the 61 and repeat the process: 619 / 83

Let's proceed to step 6:
When dividing 619 by 83, we get 7 with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 4207.0
Subtract 581 from 619 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 7:
380 divided by 83 is 4 with a remainder of 48.
The next digit of our result is 4. 
Result so far: 4207.4
If we take 332 away from 380, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
480 divided by 83 is 5 with a remainder of 65.
The next digit of our result is 5. 
Result so far: 4207.45
The remainder is 65 after subtracting 415 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 9:
83 can be fit into 650 7 times, resulting in a remainder of 69.
The next digit of our result is 7. 
Result so far: 4207.457
If we subtract 581 from 650, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 10:
The number 83 fits into 690 8 times, leaving a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 4207.4578
If we subtract 664 from 690, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 11:
83 goes into 260 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 4207.45783
The remainder is 11 after subtracting 249 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
110 divided by 83 is 1 with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 4207.457831
The remainder is 27 after subtracting 83 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
270 divided by 83 is 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 4207.4578313
If we subtract 249 from 270, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 14:
When dividing 210 by 83, we get 2 with a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 4207.45783132
Subtracting 166 from 210 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Our division results in 4207.45783132 with a remaining 4.4e-08.