We look at the division of 38278283 by 821 
The aim is to understand the frequency of 821 in 38278283.

Let's proceed to step 1:
If we divide 3 by 821, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 821

Step 2:
821 goes into 38 0 times with a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Bring next digit (2) of the dividend behind the 38 and repeat the process: 382 / 821

On to step 3:
If we divide 382 by 821, we get 0 and a remainder of 382.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 382, we end up with 382.
Fetch the next digit (7) from the dividend, attach it to 382 and continue: 3827 / 821

On to step 4:
When dividing 3827 by 821, we get 4 with a remainder of 543.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 543 after subtracting 3284 from 3827.
Take the next digit (8) from the dividend and append it to 543, then repeat: 5438 / 821

Going ahead to step 5:
5438 divided by 821 is 6 with a remainder of 512.
Use 6 as the next digit of our solution. 
Result so far: 46.0
Subtracting 4926 from 5438 leaves us with 512.
Take the next digit (2) from the dividend and append it to 512, then repeat: 5122 / 821

On to step 6:
The number 821 fits into 5122 6 times, leaving a remainder of 196.
The number 6 becomes the next digit in our result. 
Result so far: 466.0
Subtracting 4926 from 5122 leaves us with 196.
Bring next digit (8) of the dividend behind the 196 and repeat the process: 1968 / 821

Advancing to step 7:
When dividing 1968 by 821, we get 2 with a remainder of 326.
The number 2 becomes the next digit in our result. 
Result so far: 4662.0
If we subtract 1642 from 1968, we get 326.
Grab the next digit (3) from the dividend, add it to 326, then carry on: 3263 / 821

Step 8:
821 can be fit into 3263 3 times, resulting in a remainder of 800.
Write down 3 as next digit of the result. 
Result so far: 46623.0
If we subtract 2463 from 3263, we get 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8000, and continue the process.

Going ahead to step 9:
8000 divided by 821 is 9 with a remainder of 611.
Put 9 as the next digit of the answer. 
Result so far: 46623.9
The remainder is 611 after subtracting 7389 from 8000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6110, and continue the process.

Let's proceed to step 10:
6110 divided by 821 is 7 with a remainder of 363.
Record the quotient 7 as the next digit in the result. 
Result so far: 46623.97
Subtract 5747 from 6110 to get 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Going ahead to step 11:
3630 divided by 821 is 4 with a remainder of 346.
The number 4 becomes the next digit in our result. 
Result so far: 46623.974
The remainder is 346 after subtracting 3284 from 3630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Going ahead to step 12:
The number 821 fits into 3460 4 times, leaving a remainder of 176.
Put 4 as the next digit of the answer. 
Result so far: 46623.9744
If we subtract 3284 from 3460, we get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

The final outcome is 46623.9744, with a leftover of 0.00176.