Let's divide 970957 by 81
The aim is to understand the frequency of 81 in 970957.

Going ahead to step 1:
81 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 81

Step 2:
81 goes into 97 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 81 away from 97, we end up with 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 81

On to step 3:
The number 81 fits into 160 1 times, leaving a remainder of 79.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 81 from 160 leaves us with 79.
Include the next digit (9) from the dividend after 79, then repeat: 799 / 81

Moving on to step 4:
If we divide 799 by 81, we get 9 and a remainder of 70.
Put 9 as the next digit of the answer. 
Result so far: 119.0
Subtracting 729 from 799 leaves us with 70.
Include the next digit (5) from the dividend after 70, then repeat: 705 / 81

Going ahead to step 5:
81 goes into 705 8 times with a remainder of 57.
Write down 8 as next digit of the result. 
Result so far: 1198.0
Subtract 648 from 705 to get 57.
Bring next digit (7) of the dividend behind the 57 and repeat the process: 577 / 81

On to step 6:
81 goes into 577 7 times with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 11987.0
Subtracting 567 from 577 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
81 can be fit into 100 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 11987.1
Subtract 81 from 100 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 8:
If we divide 190 by 81, we get 2 and a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 11987.12
If we subtract 162 from 190, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
The number 81 fits into 280 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 11987.123
If we subtract 243 from 280, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
81 goes into 370 4 times with a remainder of 46.
Record the quotient 4 as the next digit in the result. 
Result so far: 11987.1234
If we take 324 away from 370, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 11:
When dividing 460 by 81, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 11987.12345
Deduct 405 from 460 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 12:
81 can be fit into 550 6 times, resulting in a remainder of 64.
The next digit of our result is 6. 
Result so far: 11987.123456
The remainder is 64 after subtracting 486 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 13:
If we divide 640 by 81, we get 7 and a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 11987.1234567
If we take 567 away from 640, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 14:
81 can be fit into 730 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 11987.12345679
Deduct 729 from 730 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 11987.12345679, and the remainder is 1e-09.