83821 ÷ 31 
Our goal is to divide 83821 by 31.

Moving on to step 1:
The number 31 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 31

Moving on to step 2:
The number 31 fits into 83 2 times, leaving a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 62 away from 83, we end up with 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 31

On to step 3:
The number 31 fits into 218 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
The remainder is 1 after subtracting 217 from 218.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 31

Let's proceed to step 4:
If we divide 12 by 31, we get 0 and a remainder of 12.
The next digit of our result is 0. 
Result so far: 270.0
Subtracting 0 from 12 leaves us with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 31

Step 5:
31 goes into 121 3 times with a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 2703.0
If we subtract 93 from 121, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 6:
If we divide 280 by 31, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 2703.9
Subtract 279 from 280 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
10 divided by 31 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2703.9
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 31 fits into 100 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 2703.903
The remainder is 7 after subtracting 93 from 100.
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 31, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 2703.9032
Deduct 62 from 70 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
If we divide 80 by 31, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 2703.90322
The remainder is 18 after subtracting 62 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 2703.90322 with a remainder of 1.8e-05.