We look at the division of 415637 by 83 
We want to divide 415637 by 83.

On to step 1:
The number 83 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 83

Moving on to step 2:
83 goes into 41 0 times with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (5) of the dividend behind the 41 and repeat the process: 415 / 83

Step 3:
415 divided by 83 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 0 after subtracting 415 from 415.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 83

Step 4:
If we divide 6 by 83, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 83

On to step 5:
When dividing 63 by 83, we get 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 500.0
Deduct 0 from 63 and we're left with 63.
Fetch the next digit (7) from the dividend, attach it to 63 and continue: 637 / 83

On to step 6:
83 can be fit into 637 7 times, resulting in a remainder of 56.
Put 7 as the next digit of the answer. 
Result so far: 5007.0
The remainder is 56 after subtracting 581 from 637.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 7:
The number 83 fits into 560 6 times, leaving a remainder of 62.
The next digit of our result is 6. 
Result so far: 5007.6
The remainder is 62 after subtracting 498 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 8:
When dividing 620 by 83, we get 7 with a remainder of 39.
The next digit of our result is 7. 
Result so far: 5007.67
Deduct 581 from 620 and we're left 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.

Step 9:
When dividing 390 by 83, we get 4 with a remainder of 58.
The number 4 becomes the next digit in our result. 
Result so far: 5007.674
If we take 332 away from 390, we end up 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.

Advancing to step 10:
83 can be fit into 580 6 times, resulting in a remainder of 82.
Write down 6 as next digit of the result. 
Result so far: 5007.6746
Deduct 498 from 580 and we're left 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.

Let's proceed to step 11:
If we divide 820 by 83, we get 9 and a remainder of 73.
Write down 9 as next digit of the result. 
Result so far: 5007.67469
The remainder is 73 after subtracting 747 from 820.
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:
If we divide 730 by 83, we get 8 and a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 5007.674698
The remainder is 66 after subtracting 664 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 13:
660 divided by 83 is 7 with a remainder of 79.
Write down 7 as next digit of the result. 
Result so far: 5007.6746987
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:
790 divided by 83 is 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 5007.67469879
If we take 747 away from 790, we end up 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.

After the division, we end up with 5007.67469879 and a remainder of 4.3e-08.