We look at the division of 421211 by 83 
We want to figure out the number of times 421211 can be divided by 83.

Step 1:
If we divide 4 by 83, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 83

Moving on to step 2:
The number 83 fits into 42 0 times, leaving a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 83

On to step 3:
421 divided by 83 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 6 after subtracting 415 from 421.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 83

Let's proceed to step 4:
62 divided by 83 is 0 with a remainder of 62.
Use 0 as the next digit of our solution. 
Result so far: 50.0
Subtract 0 from 62 to get 62.
Fetch the next digit (1) from the dividend, attach it to 62 and continue: 621 / 83

Going ahead to step 5:
83 can be fit into 621 7 times, resulting in a remainder of 40.
Use 7 as the next digit of our solution. 
Result so far: 507.0
Subtracting 581 from 621 leaves us with 40.
Include the next digit (1) from the dividend after 40, then repeat: 401 / 83

Step 6:
83 goes into 401 4 times with a remainder of 69.
The next digit of our result is 4. 
Result so far: 5074.0
If we take 332 away from 401, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 7:
83 can be fit into 690 8 times, resulting in a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 5074.8
If we subtract 664 from 690, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
83 can be fit into 260 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 5074.83
The remainder is 11 after subtracting 249 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
83 can be fit into 110 1 times, resulting in a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 5074.831
Subtracting 83 from 110 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 10:
83 can be fit into 270 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 5074.8313
The remainder is 21 after subtracting 249 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 11:
83 can be fit into 210 2 times, resulting in a remainder of 44.
The next digit of our result is 2. 
Result so far: 5074.83132
Deduct 166 from 210 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 12:
83 goes into 440 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 5074.831325
Subtracting 415 from 440 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 13:
83 goes into 250 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 5074.8313253
If we take 249 away from 250, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
83 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 5074.8313253
Deduct 0 from 10 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.

Our division results in 5074.8313253 with a remaining 1e-08.