We look at the division of 102666 by 83 
The aim is to understand the frequency of 83 in 102666.

Let's proceed to step 1:
83 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 83

Step 2:
83 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 83

On to step 3:
83 can be fit into 102 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 83 from 102 and we're left with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 83

Let's proceed to step 4:
If we divide 196 by 83, we get 2 and a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 166 from 196 and we're left with 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 83

On to step 5:
If we divide 306 by 83, we get 3 and a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 123.0
If we take 249 away from 306, we end up with 57.
Grab the next digit (6) from the dividend, add it to 57, then carry on: 576 / 83

Advancing to step 6:
If we divide 576 by 83, we get 6 and a remainder of 78.
Record the quotient 6 as the next digit in the result. 
Result so far: 1236.0
Subtracting 498 from 576 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 7:
83 can be fit into 780 9 times, resulting in a remainder of 33.
The next digit of our result is 9. 
Result so far: 1236.9
If we subtract 747 from 780, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
When dividing 330 by 83, we get 3 with a remainder of 81.
Record the quotient 3 as the next digit in the result. 
Result so far: 1236.93
Deduct 249 from 330 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 9:
When dividing 810 by 83, we get 9 with a remainder of 63.
Record the quotient 9 as the next digit in the result. 
Result so far: 1236.939
Subtracting 747 from 810 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 10:
83 goes into 630 7 times with a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 1236.9397
Deduct 581 from 630 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 11:
83 goes into 490 5 times with a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 1236.93975
The remainder is 75 after subtracting 415 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 12:
If we divide 750 by 83, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 1236.939759
Subtract 747 from 750 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
83 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 1236.939759
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
83 can be fit into 300 3 times, resulting in a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 1236.93975903
The remainder is 51 after subtracting 249 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

After the division, we end up with 1236.93975903 and a remainder of 5.1e-08.