10054531 ÷ 821 
The aim is to understand the frequency of 821 in 10054531.

Let's proceed to step 1:
821 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 821

Advancing to step 2:
The number 821 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 821

Going ahead to step 3:
100 divided by 821 is 0 with a remainder of 100.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 100 and we're left with 100.
Fetch the next digit (5) from the dividend, attach it to 100 and continue: 1005 / 821

Let's proceed to step 4:
1005 divided by 821 is 1 with a remainder of 184.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 821 from 1005 leaves us with 184.
Append the next digit (4) from the dividend to 184 and continue with: 1844 / 821

Step 5:
821 goes into 1844 2 times with a remainder of 202.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 1642 from 1844 to get 202.
Grab the next digit (5) from the dividend, add it to 202, then carry on: 2025 / 821

Advancing to step 6:
When dividing 2025 by 821, we get 2 with a remainder of 383.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
If we take 1642 away from 2025, we end up with 383.
Grab the next digit (3) from the dividend, add it to 383, then carry on: 3833 / 821

Step 7:
821 can be fit into 3833 4 times, resulting in a remainder of 549.
Put 4 as the next digit of the answer. 
Result so far: 1224.0
If we take 3284 away from 3833, we end up with 549.
Append the next digit (1) from the dividend to 549 and continue with: 5491 / 821

Moving on to step 8:
The number 821 fits into 5491 6 times, leaving a remainder of 565.
The number 6 becomes the next digit in our result. 
Result so far: 12246.0
The remainder is 565 after subtracting 4926 from 5491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5650, and continue the process.

Moving on to step 9:
5650 divided by 821 is 6 with a remainder of 724.
The next digit of our result is 6. 
Result so far: 12246.6
Deduct 4926 from 5650 and we're left with 724.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7240, and continue the process.

Advancing to step 10:
If we divide 7240 by 821, we get 8 and a remainder of 672.
Write down 8 as next digit of the result. 
Result so far: 12246.68
If we subtract 6568 from 7240, we get 672.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6720, and continue the process.

Step 11:
The number 821 fits into 6720 8 times, leaving a remainder of 152.
The next digit of our result is 8. 
Result so far: 12246.688
Subtract 6568 from 6720 to get 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Our division results in 12246.688 with a remaining 0.0152.