We divide 976109 by 81
The aim is to understand the frequency of 81 in 976109.

Going ahead to step 1:
81 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 81

Advancing to step 2:
97 divided by 81 is 1 with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 81 from 97 leaves us with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 81

Advancing to step 3:
When dividing 166 by 81, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 162 from 166 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 81

Let's proceed to step 4:
81 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 120.0
The remainder is 41 after subtracting 0 from 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 81

Moving on to step 5:
81 can be fit into 410 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1205.0
If we subtract 405 from 410, we get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 81

Moving on to step 6:
When dividing 59 by 81, we get 0 with a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 12050.0
Subtracting 0 from 59 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 7:
81 goes into 590 7 times with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 12050.7
If we take 567 away from 590, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
When dividing 230 by 81, we get 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 12050.72
Subtract 162 from 230 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 9:
When dividing 680 by 81, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 12050.728
Subtracting 648 from 680 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
The number 81 fits into 320 3 times, leaving a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 12050.7283
If we take 243 away from 320, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 11:
When dividing 770 by 81, we get 9 with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 12050.72839
The remainder is 41 after subtracting 729 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 12:
81 can be fit into 410 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 12050.728395
Deduct 405 from 410 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
When dividing 50 by 81, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 12050.728395
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 14:
500 divided by 81 is 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 12050.72839506
Deduct 486 from 500 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 12050.72839506 and a remainder of 1.4e-08.