84175937 ÷ 821 
The aim is to understand the frequency of 821 in 84175937.

On to step 1:
When dividing 8 by 821, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 821

Going ahead to step 2:
84 divided by 821 is 0 with a remainder of 84.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 84 after subtracting 0 from 84.
Bring next digit (1) of the dividend behind the 84 and repeat the process: 841 / 821

Moving on to step 3:
841 divided by 821 is 1 with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 821 from 841, we get 20.
Grab the next digit (7) from the dividend, add it to 20, then carry on: 207 / 821

Let's proceed to step 4:
207 divided by 821 is 0 with a remainder of 207.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 207, we get 207.
Take the next digit (5) from the dividend and append it to 207, then repeat: 2075 / 821

Going ahead to step 5:
When dividing 2075 by 821, we get 2 with a remainder of 433.
Put 2 as the next digit of the answer. 
Result so far: 102.0
Deduct 1642 from 2075 and we're left with 433.
Bring next digit (9) of the dividend behind the 433 and repeat the process: 4339 / 821

Step 6:
4339 divided by 821 is 5 with a remainder of 234.
Use 5 as the next digit of our solution. 
Result so far: 1025.0
If we subtract 4105 from 4339, we get 234.
Include the next digit (3) from the dividend after 234, then repeat: 2343 / 821

Let's proceed to step 7:
The number 821 fits into 2343 2 times, leaving a remainder of 701.
The number 2 becomes the next digit in our result. 
Result so far: 10252.0
Subtracting 1642 from 2343 leaves us with 701.
Grab the next digit (7) from the dividend, add it to 701, then carry on: 7017 / 821

Step 8:
The number 821 fits into 7017 8 times, leaving a remainder of 449.
Put 8 as the next digit of the answer. 
Result so far: 102528.0
Deduct 6568 from 7017 and we're left with 449.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4490, and continue the process.

Moving on to step 9:
The number 821 fits into 4490 5 times, leaving a remainder of 385.
Use 5 as the next digit of our solution. 
Result so far: 102528.5
The remainder is 385 after subtracting 4105 from 4490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

Let's proceed to step 10:
821 goes into 3850 4 times with a remainder of 566.
Write down 4 as next digit of the result. 
Result so far: 102528.54
If we take 3284 away from 3850, we end up with 566.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

Moving on to step 11:
821 can be fit into 5660 6 times, resulting in a remainder of 734.
The number 6 becomes the next digit in our result. 
Result so far: 102528.546
If we take 4926 away from 5660, we end up with 734.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7340, and continue the process.

Moving on to step 12:
If we divide 7340 by 821, we get 8 and a remainder of 772.
The next digit of our result is 8. 
Result so far: 102528.5468
If we take 6568 away from 7340, we end up with 772.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7720, and continue the process.

Advancing to step 13:
The number 821 fits into 7720 9 times, leaving a remainder of 331.
Use 9 as the next digit of our solution. 
Result so far: 102528.54689
Subtract 7389 from 7720 to get 331.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3310, and continue the process.

Moving on to step 14:
If we divide 3310 by 821, we get 4 and a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 102528.546894
If we take 3284 away from 3310, we end up 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.

Advancing to step 15:
260 divided by 821 is 0 with a remainder of 260.
Use 0 as the next digit of our solution. 
Result so far: 102528.546894
The remainder is 260 after subtracting 0 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Moving on to step 16:
821 goes into 2600 3 times with a remainder of 137.
Record the quotient 3 as the next digit in the result. 
Result so far: 102528.54689403
If we take 2463 away from 2600, we end up with 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

In conclusion, the division gives 102528.54689403 with a balance of 1.37e-07.