35898581 divided by 821 
The aim is to understand the frequency of 821 in 35898581.

Advancing to step 1:
When dividing 3 by 821, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 821

Advancing to step 2:
821 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (8) from the dividend after 35, then repeat: 358 / 821

Advancing to step 3:
821 can be fit into 358 0 times, resulting in a remainder of 358.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 358 to get 358.
Fetch the next digit (9) from the dividend, attach it to 358 and continue: 3589 / 821

Moving on to step 4:
The number 821 fits into 3589 4 times, leaving a remainder of 305.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 3284 from 3589 to get 305.
Append the next digit (8) from the dividend to 305 and continue with: 3058 / 821

Moving on to step 5:
When dividing 3058 by 821, we get 3 with a remainder of 595.
Use 3 as the next digit of our solution. 
Result so far: 43.0
If we subtract 2463 from 3058, we get 595.
Bring next digit (5) of the dividend behind the 595 and repeat the process: 5955 / 821

Let's proceed to step 6:
821 goes into 5955 7 times with a remainder of 208.
The next digit of our result is 7. 
Result so far: 437.0
Subtract 5747 from 5955 to get 208.
Fetch the next digit (8) from the dividend, attach it to 208 and continue: 2088 / 821

Let's proceed to step 7:
When dividing 2088 by 821, we get 2 with a remainder of 446.
The number 2 becomes the next digit in our result. 
Result so far: 4372.0
Subtract 1642 from 2088 to get 446.
Include the next digit (1) from the dividend after 446, then repeat: 4461 / 821

Let's proceed to step 8:
4461 divided by 821 is 5 with a remainder of 356.
Use 5 as the next digit of our solution. 
Result so far: 43725.0
If we take 4105 away from 4461, we end up with 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Moving on to step 9:
If we divide 3560 by 821, we get 4 and a remainder of 276.
The next digit of our result is 4. 
Result so far: 43725.4
Deduct 3284 from 3560 and we're left with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Advancing to step 10:
821 goes into 2760 3 times with a remainder of 297.
Use 3 as the next digit of our solution. 
Result so far: 43725.43
Subtract 2463 from 2760 to get 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Moving on to step 11:
2970 divided by 821 is 3 with a remainder of 507.
Record the quotient 3 as the next digit in the result. 
Result so far: 43725.433
The remainder is 507 after subtracting 2463 from 2970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5070, and continue the process.

The final result is 43725.433 with a remainder of 0.0507.