We're dividing 82821 by 53 
Let's see how many times 53 fits into 82821.

Advancing to step 1:
If we divide 8 by 53, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 53

On to step 2:
If we divide 82 by 53, we get 1 and a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 53 from 82, we get 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 53

Let's proceed to step 3:
If we divide 298 by 53, we get 5 and a remainder of 33.
Put 5 as the next digit of the answer. 
Result so far: 15.0
The remainder is 33 after subtracting 265 from 298.
Grab the next digit (2) from the dividend, add it to 33, then carry on: 332 / 53

On to step 4:
53 can be fit into 332 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 156.0
If we subtract 318 from 332, we get 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 53

Step 5:
If we divide 141 by 53, we get 2 and a remainder of 35.
Put 2 as the next digit of the answer. 
Result so far: 1562.0
The remainder is 35 after subtracting 106 from 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 6:
When dividing 350 by 53, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 1562.6
If we take 318 away from 350, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
320 divided by 53 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 1562.66
Subtract 318 from 320 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 1562.66 with a remaining 0.002.