638503 ÷ 82 
We're looking to find how many times 82 goes into 638503.

Step 1:
If we divide 6 by 82, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 82

On to step 2:
If we divide 63 by 82, we get 0 and a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Grab the next digit (8) from the dividend, add it to 63, then carry on: 638 / 82

Advancing to step 3:
638 divided by 82 is 7 with a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 574 from 638 leaves us with 64.
Grab the next digit (5) from the dividend, add it to 64, then carry on: 645 / 82

On to step 4:
The number 82 fits into 645 7 times, leaving a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
The remainder is 71 after subtracting 574 from 645.
Fetch the next digit (0) from the dividend, attach it to 71 and continue: 710 / 82

Moving on to step 5:
710 divided by 82 is 8 with a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 778.0
Subtracting 656 from 710 leaves us with 54.
Bring next digit (3) of the dividend behind the 54 and repeat the process: 543 / 82

Let's proceed to step 6:
82 goes into 543 6 times with a remainder of 51.
Use 6 as the next digit of our solution. 
Result so far: 7786.0
If we subtract 492 from 543, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 7:
82 can be fit into 510 6 times, resulting in a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 7786.6
Subtracting 492 from 510 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
82 can be fit into 180 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 7786.62
If we take 164 away from 180, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 82 is 1 with a remainder of 78.
The number 1 becomes the next digit in our result. 
Result so far: 7786.621
Deduct 82 from 160 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 10:
If we divide 780 by 82, we get 9 and a remainder of 42.
Record the quotient 9 as the next digit in the result. 
Result so far: 7786.6219
Deduct 738 from 780 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
420 divided by 82 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 7786.62195
If we subtract 410 from 420, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
If we divide 100 by 82, we get 1 and a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 7786.621951
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
82 goes into 180 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 7786.6219512
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
The number 82 fits into 160 1 times, leaving a remainder of 78.
The number 1 becomes the next digit in our result. 
Result so far: 7786.62195121
Subtracting 82 from 160 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The quotient of the division is 7786.62195121, and the remainder is 7.8e-08.