We look at the division of 722525 by 821 
The aim is to understand the frequency of 821 in 722525.

On to step 1:
821 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 821

Moving on to step 2:
821 can be fit into 72 0 times, resulting in a remainder of 72.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 72 after subtracting 0 from 72.
Fetch the next digit (2) from the dividend, attach it to 72 and continue: 722 / 821

Going ahead to step 3:
The number 821 fits into 722 0 times, leaving a remainder of 722.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 722 to get 722.
Fetch the next digit (5) from the dividend, attach it to 722 and continue: 7225 / 821

Moving on to step 4:
If we divide 7225 by 821, we get 8 and a remainder of 657.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 657 after subtracting 6568 from 7225.
Fetch the next digit (2) from the dividend, attach it to 657 and continue: 6572 / 821

Step 5:
When dividing 6572 by 821, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 88.0
Subtracting 6568 from 6572 leaves us with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 821

Let's proceed to step 6:
45 divided by 821 is 0 with a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 880.0
If we subtract 0 from 45, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 7:
The number 821 fits into 450 0 times, leaving a remainder of 450.
Write down 0 as next digit of the result. 
Result so far: 880.0
Subtract 0 from 450 to get 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Step 8:
4500 divided by 821 is 5 with a remainder of 395.
The number 5 becomes the next digit in our result. 
Result so far: 880.05
The remainder is 395 after subtracting 4105 from 4500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

Going ahead to step 9:
821 goes into 3950 4 times with a remainder of 666.
Record the quotient 4 as the next digit in the result. 
Result so far: 880.054
Subtract 3284 from 3950 to get 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Step 10:
821 goes into 6660 8 times with a remainder of 92.
Put 8 as the next digit of the answer. 
Result so far: 880.0548
Subtracting 6568 from 6660 leaves us with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Going ahead to step 11:
If we divide 920 by 821, we get 1 and a remainder of 99.
Record the quotient 1 as the next digit in the result. 
Result so far: 880.05481
Subtract 821 from 920 to get 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Step 12:
When dividing 990 by 821, we get 1 with a remainder of 169.
Use 1 as the next digit of our solution. 
Result so far: 880.054811
Deduct 821 from 990 and we're left with 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1690, and continue the process.

The quotient of the division is 880.054811, and the remainder is 1.69e-05.