We look at the division of 478308 by 83 
We want to divide 478308 by 83.

Step 1:
83 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 83

Advancing to step 2:
83 goes into 47 0 times with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Append the next digit (8) from the dividend to 47 and continue with: 478 / 83

Let's proceed to step 3:
83 can be fit into 478 5 times, resulting in a remainder of 63.
The next digit of our result is 5. 
Result so far: 5.0
If we take 415 away from 478, we end up with 63.
Append the next digit (3) from the dividend to 63 and continue with: 633 / 83

Advancing to step 4:
If we divide 633 by 83, we get 7 and a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we subtract 581 from 633, we get 52.
Append the next digit (0) from the dividend to 52 and continue with: 520 / 83

On to step 5:
If we divide 520 by 83, we get 6 and a remainder of 22.
The next digit of our result is 6. 
Result so far: 576.0
If we subtract 498 from 520, we get 22.
Take the next digit (8) from the dividend and append it to 22, then repeat: 228 / 83

Let's proceed to step 6:
83 goes into 228 2 times with a remainder of 62.
Use 2 as the next digit of our solution. 
Result so far: 5762.0
If we subtract 166 from 228, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 7:
83 can be fit into 620 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 5762.7
Subtracting 581 from 620 leaves us 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.

Going ahead to step 8:
390 divided by 83 is 4 with a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 5762.74
The remainder is 58 after subtracting 332 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 9:
The number 83 fits into 580 6 times, leaving a remainder of 82.
Record the quotient 6 as the next digit in the result. 
Result so far: 5762.746
Subtracting 498 from 580 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 10:
83 goes into 820 9 times with a remainder of 73.
Put 9 as the next digit of the answer. 
Result so far: 5762.7469
Deduct 747 from 820 and we're left with 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 11:
If we divide 730 by 83, we get 8 and a remainder of 66.
Put 8 as the next digit of the answer. 
Result so far: 5762.74698
Subtract 664 from 730 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 12:
The number 83 fits into 660 7 times, leaving a remainder of 79.
Put 7 as the next digit of the answer. 
Result so far: 5762.746987
Subtract 581 from 660 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 13:
If we divide 790 by 83, we get 9 and a remainder of 43.
The next digit of our result is 9. 
Result so far: 5762.7469879
Subtracting 747 from 790 leaves us 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.

Moving on to step 14:
The number 83 fits into 430 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5762.74698795
Deduct 415 from 430 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 5762.74698795 with a remaining 1.5e-08.