Let's divide 354319 by 83
Our goal is to divide 354319 by 83.

Moving on to step 1:
83 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 83

Step 2:
When dividing 35 by 83, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Grab the next digit (4) from the dividend, add it to 35, then carry on: 354 / 83

On to step 3:
83 goes into 354 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 332 from 354 leaves us with 22.
Bring next digit (3) of the dividend behind the 22 and repeat the process: 223 / 83

Step 4:
If we divide 223 by 83, we get 2 and a remainder of 57.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Deduct 166 from 223 and we're left with 57.
Fetch the next digit (1) from the dividend, attach it to 57 and continue: 571 / 83

Step 5:
When dividing 571 by 83, we get 6 with a remainder of 73.
The next digit of our result is 6. 
Result so far: 426.0
The remainder is 73 after subtracting 498 from 571.
Bring next digit (9) of the dividend behind the 73 and repeat the process: 739 / 83

Step 6:
83 can be fit into 739 8 times, resulting in a remainder of 75.
The number 8 becomes the next digit in our result. 
Result so far: 4268.0
If we subtract 664 from 739, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 7:
If we divide 750 by 83, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 4268.9
If we subtract 747 from 750, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
83 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 4268.9
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
When dividing 300 by 83, we get 3 with a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 4268.903
The remainder is 51 after subtracting 249 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 10:
83 can be fit into 510 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 4268.9036
The remainder is 12 after subtracting 498 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
When dividing 120 by 83, we get 1 with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 4268.90361
If we subtract 83 from 120, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 12:
When dividing 370 by 83, we get 4 with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 4268.903614
Subtract 332 from 370 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.

On to step 13:
83 goes into 380 4 times with a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 4268.9036144
Deduct 332 from 380 and we're left 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.

Our division results in 4268.9036144 with a remaining 4.8e-07.