13772 divided by 83 
The aim is to understand the frequency of 83 in 13772.

Let's proceed to step 1:
When dividing 1 by 83, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 83

Moving on to step 2:
If we divide 13 by 83, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 83

Moving on to step 3:
137 divided by 83 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 83 from 137 to get 54.
Fetch the next digit (7) from the dividend, attach it to 54 and continue: 547 / 83

On to step 4:
83 goes into 547 6 times with a remainder of 49.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 498 away from 547, we end up with 49.
Take the next digit (2) from the dividend and append it to 49, then repeat: 492 / 83

Moving on to step 5:
The number 83 fits into 492 5 times, leaving a remainder of 77.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Deduct 415 from 492 and we're left 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.

Moving on to step 6:
83 goes into 770 9 times with a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 165.9
If we subtract 747 from 770, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
The number 83 fits into 230 2 times, leaving a remainder of 64.
The next digit of our result is 2. 
Result so far: 165.92
Deduct 166 from 230 and we're left with 64.
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 8:
When dividing 640 by 83, we get 7 with a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 165.927
If we take 581 away from 640, 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.

Advancing to step 9:
When dividing 590 by 83, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 165.9277
Subtract 581 from 590 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 165.9277 with a remaining 9e-05.