478634 ÷ 83 
We want to divide 478634 by 83.

Going ahead to step 1:
If we divide 4 by 83, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 83

Advancing to step 2:
When dividing 47 by 83, we get 0 with a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 47 to get 47.
Bring next digit (8) of the dividend behind the 47 and repeat the process: 478 / 83

Step 3:
The number 83 fits into 478 5 times, leaving a remainder of 63.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 415 away from 478, we end up with 63.
Take the next digit (6) from the dividend and append it to 63, then repeat: 636 / 83

Let's proceed to step 4:
When dividing 636 by 83, we get 7 with a remainder of 55.
Write down 7 as next digit of the result. 
Result so far: 57.0
If we subtract 581 from 636, we get 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 83

Advancing to step 5:
When dividing 553 by 83, we get 6 with a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 576.0
Subtracting 498 from 553 leaves us with 55.
Bring next digit (4) of the dividend behind the 55 and repeat the process: 554 / 83

Advancing to step 6:
554 divided by 83 is 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 5766.0
Subtract 498 from 554 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
The number 83 fits into 560 6 times, leaving a remainder of 62.
Record the quotient 6 as the next digit in the result. 
Result so far: 5766.6
Subtract 498 from 560 to 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.

Moving on to step 8:
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: 5766.67
If we take 581 away from 620, we end up 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.

On to step 9:
390 divided by 83 is 4 with a remainder of 58.
The number 4 becomes the next digit in our result. 
Result so far: 5766.674
Subtracting 332 from 390 leaves us with 58.
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 10:
The number 83 fits into 580 6 times, leaving a remainder of 82.
The next digit of our result is 6. 
Result so far: 5766.6746
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 11:
If we divide 820 by 83, we get 9 and a remainder of 73.
The number 9 becomes the next digit in our result. 
Result so far: 5766.67469
Subtracting 747 from 820 leaves us 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.

Advancing to step 12:
730 divided by 83 is 8 with a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 5766.674698
If we take 664 away from 730, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 13:
660 divided by 83 is 7 with a remainder of 79.
The next digit of our result is 7. 
Result so far: 5766.6746987
Subtracting 581 from 660 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 14:
The number 83 fits into 790 9 times, leaving a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 5766.67469879
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.

Our division results in 5766.67469879 with a remaining 4.3e-08.