We divide 421658 by 82
We're looking to find how many times 82 goes into 421658.

On to step 1:
If we divide 4 by 82, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 82

Advancing to step 2:
82 can be fit into 42 0 times, resulting in a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 82

Let's proceed to step 3:
The number 82 fits into 421 5 times, leaving a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 410 from 421 to get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 82

Moving on to step 4:
82 can be fit into 116 1 times, resulting in a remainder of 34.
The next digit of our result is 1. 
Result so far: 51.0
The remainder is 34 after subtracting 82 from 116.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 82

Let's proceed to step 5:
82 can be fit into 345 4 times, resulting in a remainder of 17.
Use 4 as the next digit of our solution. 
Result so far: 514.0
Subtract 328 from 345 to get 17.
Grab the next digit (8) from the dividend, add it to 17, then carry on: 178 / 82

Moving on to step 6:
82 can be fit into 178 2 times, resulting in a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 5142.0
If we take 164 away from 178, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
140 divided by 82 is 1 with a remainder of 58.
The number 1 becomes the next digit in our result. 
Result so far: 5142.1
The remainder is 58 after subtracting 82 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 8:
The number 82 fits into 580 7 times, leaving a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 5142.17
Subtract 574 from 580 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
If we divide 60 by 82, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 5142.17
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
If we divide 600 by 82, we get 7 and a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 5142.1707
Subtracting 574 from 600 leaves us with 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 11:
The number 82 fits into 260 3 times, leaving a remainder of 14.
The next digit of our result is 3. 
Result so far: 5142.17073
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
82 can be fit into 140 1 times, resulting in a remainder of 58.
The next digit of our result is 1. 
Result so far: 5142.170731
The remainder is 58 after subtracting 82 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 13:
82 goes into 580 7 times with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 5142.1707317
If we subtract 574 from 580, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
82 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 5142.1707317
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 5142.1707317 with a remainder of 6e-08.