We're dividing 827888 by 82 
We're looking to find how many times 82 goes into 827888.

Step 1:
The number 82 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 82

Step 2:
When dividing 82 by 82, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 82 from 82 to get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 82

Step 3:
7 divided by 82 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 82

Step 4:
82 goes into 78 0 times with a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 100.0
If we take 0 away from 78, we end up with 78.
Include the next digit (8) from the dividend after 78, then repeat: 788 / 82

On to step 5:
82 goes into 788 9 times with a remainder of 50.
The number 9 becomes the next digit in our result. 
Result so far: 1009.0
Deduct 738 from 788 and we're left with 50.
Grab the next digit (8) from the dividend, add it to 50, then carry on: 508 / 82

Moving on to step 6:
508 divided by 82 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 10096.0
Subtract 492 from 508 to get 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 7:
160 divided by 82 is 1 with a remainder of 78.
Use 1 as the next digit of our solution. 
Result so far: 10096.1
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.

Let's proceed to step 8:
If we divide 780 by 82, we get 9 and a remainder of 42.
The next digit of our result is 9. 
Result so far: 10096.19
The remainder is 42 after subtracting 738 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 9:
420 divided by 82 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 10096.195
Subtract 410 from 420 to 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.

Moving on to step 10:
When dividing 100 by 82, we get 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 10096.1951
Subtracting 82 from 100 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.

Step 11:
180 divided by 82 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 10096.19512
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
If we divide 160 by 82, we get 1 and a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 10096.195121
The remainder is 78 after subtracting 82 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 13:
If we divide 780 by 82, we get 9 and a remainder of 42.
Use 9 as the next digit of our solution. 
Result so far: 10096.1951219
If we subtract 738 from 780, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 14:
The number 82 fits into 420 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 10096.19512195
Deduct 410 from 420 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 10096.19512195, and the remainder is 1e-08.