409664 ÷ 83 
We want to figure out the number of times 409664 can be divided by 83.

Let's proceed to step 1:
The number 83 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 83

Going ahead to step 2:
40 divided by 83 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 83

Step 3:
If we divide 409 by 83, we get 4 and a remainder of 77.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 332 away from 409, we end up with 77.
Bring next digit (6) of the dividend behind the 77 and repeat the process: 776 / 83

Let's proceed to step 4:
When dividing 776 by 83, we get 9 with a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
If we subtract 747 from 776, we get 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 83

Step 5:
296 divided by 83 is 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 493.0
Deduct 249 from 296 and we're left with 47.
Take the next digit (4) from the dividend and append it to 47, then repeat: 474 / 83

Let's proceed to step 6:
83 can be fit into 474 5 times, resulting in a remainder of 59.
Record the quotient 5 as the next digit in the result. 
Result so far: 4935.0
If we take 415 away from 474, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 7:
83 goes into 590 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 4935.7
If we take 581 away from 590, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
The number 83 fits into 90 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 4935.71
If we take 83 away from 90, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
When dividing 70 by 83, we get 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 4935.71
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 10:
If we divide 700 by 83, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 4935.7108
If we subtract 664 from 700, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
When dividing 360 by 83, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 4935.71084
Subtracting 332 from 360 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 12:
83 can be fit into 280 3 times, resulting in a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 4935.710843
Subtract 249 from 280 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 13:
83 can be fit into 310 3 times, resulting in a remainder of 61.
The number 3 becomes the next digit in our result. 
Result so far: 4935.7108433
Subtract 249 from 310 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Our division results in 4935.7108433 with a remaining 6.1e-07.