We look at the division of 355117 by 83 
We're looking to find how many times 83 goes into 355117.

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
If we take 0 away from 3, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 83

On to step 2:
When dividing 35 by 83, we get 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 83

Going ahead to step 3:
The number 83 fits into 355 4 times, leaving a remainder of 23.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 332 from 355, we get 23.
Grab the next digit (1) from the dividend, add it to 23, then carry on: 231 / 83

Moving on to step 4:
231 divided by 83 is 2 with a remainder of 65.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Subtract 166 from 231 to get 65.
Take the next digit (1) from the dividend and append it to 65, then repeat: 651 / 83

On to step 5:
When dividing 651 by 83, we get 7 with a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 427.0
Subtract 581 from 651 to get 70.
Grab the next digit (7) from the dividend, add it to 70, then carry on: 707 / 83

Let's proceed to step 6:
When dividing 707 by 83, we get 8 with a remainder of 43.
Record the quotient 8 as the next digit in the result. 
Result so far: 4278.0
Deduct 664 from 707 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.

Let's proceed to step 7:
The number 83 fits into 430 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 4278.5
If we subtract 415 from 430, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 83 fits into 150 1 times, leaving a remainder of 67.
Record the quotient 1 as the next digit in the result. 
Result so far: 4278.51
If we subtract 83 from 150, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 9:
83 goes into 670 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 4278.518
If we take 664 away from 670, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
The number 83 fits into 60 0 times, leaving a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 4278.518
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
600 divided by 83 is 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 4278.51807
Subtracting 581 from 600 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 12:
The number 83 fits into 190 2 times, leaving a remainder of 24.
The next digit of our result is 2. 
Result so far: 4278.518072
Subtracting 166 from 190 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
If we divide 240 by 83, we get 2 and a remainder of 74.
Record the quotient 2 as the next digit in the result. 
Result so far: 4278.5180722
If we take 166 away from 240, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final result is 4278.5180722 with a remainder of 7.4e-07.