We divide 874690 by 81
The aim is to understand the frequency of 81 in 874690.

Advancing to step 1:
If we divide 8 by 81, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 81

Advancing to step 2:
When dividing 87 by 81, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 81 away from 87, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 81

On to step 3:
81 can be fit into 64 0 times, resulting in a remainder of 64.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 64, we end up with 64.
Take the next digit (6) from the dividend and append it to 64, then repeat: 646 / 81

Advancing to step 4:
When dividing 646 by 81, we get 7 with a remainder of 79.
The next digit of our result is 7. 
Result so far: 107.0
If we subtract 567 from 646, we get 79.
Include the next digit (9) from the dividend after 79, then repeat: 799 / 81

Step 5:
When dividing 799 by 81, we get 9 with a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 1079.0
Subtract 729 from 799 to get 70.
Include the next digit (0) from the dividend after 70, then repeat: 700 / 81

Step 6:
700 divided by 81 is 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 10798.0
The remainder is 52 after subtracting 648 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
81 can be fit into 520 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 10798.6
Subtracting 486 from 520 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
340 divided by 81 is 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 10798.64
Deduct 324 from 340 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
When dividing 160 by 81, we get 1 with a remainder of 79.
Record the quotient 1 as the next digit in the result. 
Result so far: 10798.641
If we subtract 81 from 160, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 10:
If we divide 790 by 81, we get 9 and a remainder of 61.
The next digit of our result is 9. 
Result so far: 10798.6419
If we subtract 729 from 790, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 11:
If we divide 610 by 81, we get 7 and a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 10798.64197
Subtract 567 from 610 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 12:
81 goes into 430 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 10798.641975
The remainder is 25 after subtracting 405 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
The number 81 fits into 250 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 10798.6419753
Subtracting 243 from 250 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
70 divided by 81 is 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 10798.6419753
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 10798.6419753 with a balance of 7e-08.