586265 ÷ 81 
The aim is to understand the frequency of 81 in 586265.

Advancing to step 1:
5 divided by 81 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 81

Let's proceed to step 2:
The number 81 fits into 58 0 times, leaving a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 81

Advancing to step 3:
If we divide 586 by 81, we get 7 and a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 19 after subtracting 567 from 586.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 81

Advancing to step 4:
81 goes into 192 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 72.0
Subtracting 162 from 192 leaves us with 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 81

Moving on to step 5:
81 goes into 306 3 times with a remainder of 63.
The number 3 becomes the next digit in our result. 
Result so far: 723.0
If we take 243 away from 306, we end up with 63.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 81

Advancing to step 6:
635 divided by 81 is 7 with a remainder of 68.
Record the quotient 7 as the next digit in the result. 
Result so far: 7237.0
Deduct 567 from 635 and we're left with 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 7:
81 can be fit into 680 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 7237.8
Deduct 648 from 680 and we're left 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.

Step 8:
81 can be fit into 320 3 times, resulting in a remainder of 77.
Put 3 as the next digit of the answer. 
Result so far: 7237.83
Subtracting 243 from 320 leaves us 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.

Advancing to step 9:
The number 81 fits into 770 9 times, leaving a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 7237.839
Deduct 729 from 770 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 10:
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: 7237.8395
Subtract 405 from 410 to get 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 11:
When dividing 50 by 81, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 7237.8395
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 12:
81 can be fit into 500 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 7237.839506
The remainder is 14 after subtracting 486 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
140 divided by 81 is 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 7237.8395061
If we take 81 away from 140, we end up 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.

Moving on to step 14:
590 divided by 81 is 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 7237.83950617
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.

After the division, we end up with 7237.83950617 and a remainder of 2.3e-08.