We look at the division of 21755 by 83 
Let's see how many times 83 fits into 21755.

On to step 1:
2 divided by 83 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 83

On to step 2:
83 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 83

Moving on to step 3:
83 can be fit into 217 2 times, resulting in a remainder of 51.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 51 after subtracting 166 from 217.
Append the next digit (5) from the dividend to 51 and continue with: 515 / 83

On to step 4:
The number 83 fits into 515 6 times, leaving a remainder of 17.
The next digit of our result is 6. 
Result so far: 26.0
Subtract 498 from 515 to get 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 83

Moving on to step 5:
The number 83 fits into 175 2 times, leaving a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 262.0
The remainder is 9 after subtracting 166 from 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 6:
When dividing 90 by 83, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 262.1
Subtract 83 from 90 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
83 can be fit into 70 0 times, resulting in a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 262.1
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
83 goes into 700 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 262.108
Subtracting 664 from 700 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
83 can be fit into 360 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 262.1084
The remainder is 28 after subtracting 332 from 360.
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 10:
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: 262.10843
If we subtract 249 from 280, we 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.

Advancing to step 11:
The number 83 fits into 310 3 times, leaving a remainder of 61.
Put 3 as the next digit of the answer. 
Result so far: 262.108433
Deduct 249 from 310 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

The final result is 262.108433 with a remainder of 6.1e-06.