We're dividing 341341 by 81 
The aim is to understand the frequency of 81 in 341341.

On to step 1:
When dividing 3 by 81, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 81

Going ahead to step 2:
81 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 81

Going ahead to step 3:
81 can be fit into 341 4 times, resulting in a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 324 away from 341, we end up with 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 81

On to step 4:
173 divided by 81 is 2 with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 42.0
The remainder is 11 after subtracting 162 from 173.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 81

Step 5:
81 can be fit into 114 1 times, resulting in a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 421.0
If we take 81 away from 114, we end up with 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 81

Step 6:
81 goes into 331 4 times with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4214.0
Subtract 324 from 331 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
81 goes into 70 0 times with a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 4214.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
700 divided by 81 is 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 4214.08
Subtracting 648 from 700 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 9:
When dividing 520 by 81, we get 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 4214.086
Subtract 486 from 520 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
If we divide 340 by 81, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 4214.0864
If we take 324 away from 340, we end up 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 11:
The number 81 fits into 160 1 times, leaving a remainder of 79.
The next digit of our result is 1. 
Result so far: 4214.08641
Deduct 81 from 160 and we're left with 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 12:
The number 81 fits into 790 9 times, leaving a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 4214.086419
Subtracting 729 from 790 leaves us with 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 13:
If we divide 610 by 81, we get 7 and a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 4214.0864197
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.

Going ahead to step 14:
The number 81 fits into 430 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 4214.08641975
Subtracting 405 from 430 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 4214.08641975 with a remainder of 2.5e-08.