171861 ÷ 82 
The aim is to understand the frequency of 82 in 171861.

Step 1:
When dividing 1 by 82, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 82

Going ahead to step 2:
If we divide 17 by 82, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 82

Let's proceed to step 3:
The number 82 fits into 171 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 164 from 171 and we're left with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 82

Moving on to step 4:
If we divide 78 by 82, we get 0 and a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
If we take 0 away from 78, we end up with 78.
Bring next digit (6) of the dividend behind the 78 and repeat the process: 786 / 82

On to step 5:
If we divide 786 by 82, we get 9 and a remainder of 48.
The next digit of our result is 9. 
Result so far: 209.0
Subtract 738 from 786 to get 48.
Bring next digit (1) of the dividend behind the 48 and repeat the process: 481 / 82

Let's proceed to step 6:
If we divide 481 by 82, we get 5 and a remainder of 71.
Write down 5 as next digit of the result. 
Result so far: 2095.0
The remainder is 71 after subtracting 410 from 481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 7:
The number 82 fits into 710 8 times, leaving a remainder of 54.
The next digit of our result is 8. 
Result so far: 2095.8
If we take 656 away from 710, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
82 can be fit into 540 6 times, resulting in a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 2095.86
If we subtract 492 from 540, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 9:
480 divided by 82 is 5 with a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 2095.865
Deduct 410 from 480 and we're left with 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 10:
When dividing 700 by 82, we get 8 with a remainder of 44.
The next digit of our result is 8. 
Result so far: 2095.8658
If we take 656 away from 700, we end up 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 11:
82 can be fit into 440 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 2095.86585
If we take 410 away from 440, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
82 can be fit into 300 3 times, resulting in a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 2095.865853
If we take 246 away from 300, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 13:
540 divided by 82 is 6 with a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 2095.8658536
The remainder is 48 after subtracting 492 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 14:
When dividing 480 by 82, we get 5 with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 2095.86585365
Deduct 410 from 480 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 2095.86585365, and the remainder is 7e-08.