23777 ÷ 83 
The aim is to understand the frequency of 83 in 23777.

On to step 1:
2 divided by 83 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 83

Moving on to step 2:
The number 83 fits into 23 0 times, leaving a remainder of 23.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 23 leaves us with 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 83

Going ahead to step 3:
83 can be fit into 237 2 times, resulting in a remainder of 71.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 166 from 237 and we're left with 71.
Take the next digit (7) from the dividend and append it to 71, then repeat: 717 / 83

Let's proceed to step 4:
The number 83 fits into 717 8 times, leaving a remainder of 53.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
If we subtract 664 from 717, we get 53.
Grab the next digit (7) from the dividend, add it to 53, then carry on: 537 / 83

Moving on to step 5:
83 goes into 537 6 times with a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 286.0
If we subtract 498 from 537, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 6:
If we divide 390 by 83, we get 4 and a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 286.4
If we subtract 332 from 390, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 7:
580 divided by 83 is 6 with a remainder of 82.
Put 6 as the next digit of the answer. 
Result so far: 286.46
Subtract 498 from 580 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 8:
When dividing 820 by 83, we get 9 with a remainder of 73.
The next digit of our result is 9. 
Result so far: 286.469
Subtract 747 from 820 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 9:
When dividing 730 by 83, we get 8 with a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 286.4698
The remainder is 66 after subtracting 664 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 10:
83 can be fit into 660 7 times, resulting in a remainder of 79.
Write down 7 as next digit of the result. 
Result so far: 286.46987
Subtract 581 from 660 to get 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 11:
When dividing 790 by 83, we get 9 with a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 286.469879
Subtracting 747 from 790 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 12:
83 goes into 430 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 286.4698795
Subtracting 415 from 430 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 13:
83 goes into 150 1 times with a remainder of 67.
Record the quotient 1 as the next digit in the result. 
Result so far: 286.46987951
If we take 83 away from 150, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

In conclusion, the division gives 286.46987951 with a balance of 6.7e-08.