We divide 105761 by 83
The aim is to understand the frequency of 83 in 105761.

Let's proceed to step 1:
If we divide 1 by 83, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 83

Moving on to step 2:
The number 83 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 83

On to step 3:
The number 83 fits into 105 1 times, leaving a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 83 from 105 to get 22.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 83

Advancing to step 4:
The number 83 fits into 227 2 times, leaving a remainder of 61.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 166 from 227 and we're left with 61.
Fetch the next digit (6) from the dividend, attach it to 61 and continue: 616 / 83

Moving on to step 5:
When dividing 616 by 83, we get 7 with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 127.0
If we take 581 away from 616, we end up with 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 83

Let's proceed to step 6:
351 divided by 83 is 4 with a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 1274.0
If we take 332 away from 351, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
190 divided by 83 is 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 1274.2
Subtracting 166 from 190 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
240 divided by 83 is 2 with a remainder of 74.
Write down 2 as next digit of the result. 
Result so far: 1274.22
The remainder is 74 after subtracting 166 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The quotient of the division is 1274.22, and the remainder is 0.074.