57112022 divided by 105 
The aim is to understand the frequency of 105 in 57112022.

Moving on to step 1:
5 divided by 105 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 105

Advancing to step 2:
When dividing 57 by 105, we get 0 with a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Include the next digit (1) from the dividend after 57, then repeat: 571 / 105

Moving on to step 3:
The number 105 fits into 571 5 times, leaving a remainder of 46.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 525 from 571 and we're left with 46.
Take the next digit (1) from the dividend and append it to 46, then repeat: 461 / 105

Let's proceed to step 4:
105 goes into 461 4 times with a remainder of 41.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Subtract 420 from 461 to get 41.
Append the next digit (2) from the dividend to 41 and continue with: 412 / 105

Advancing to step 5:
105 can be fit into 412 3 times, resulting in a remainder of 97.
The next digit of our result is 3. 
Result so far: 543.0
Subtracting 315 from 412 leaves us with 97.
Fetch the next digit (0) from the dividend, attach it to 97 and continue: 970 / 105

Let's proceed to step 6:
970 divided by 105 is 9 with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 5439.0
Subtracting 945 from 970 leaves us with 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 105

Let's proceed to step 7:
252 divided by 105 is 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 54392.0
Deduct 210 from 252 and we're left with 42.
Append the next digit (2) from the dividend to 42 and continue with: 422 / 105

Let's proceed to step 8:
105 goes into 422 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 543924.0
If we take 420 away from 422, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
When dividing 20 by 105, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 543924.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
The number 105 fits into 200 1 times, leaving a remainder of 95.
The number 1 becomes the next digit in our result. 
Result so far: 543924.01
Subtracting 105 from 200 leaves us with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

On to step 11:
The number 105 fits into 950 9 times, leaving a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 543924.019
The remainder is 5 after subtracting 945 from 950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
The number 105 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 543924.019
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 13:
The number 105 fits into 500 4 times, leaving a remainder of 80.
The next digit of our result is 4. 
Result so far: 543924.01904
Subtracting 420 from 500 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 14:
105 can be fit into 800 7 times, resulting in a remainder of 65.
The number 7 becomes the next digit in our result. 
Result so far: 543924.019047
Deduct 735 from 800 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 15:
105 goes into 650 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 543924.0190476
Subtract 630 from 650 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 16:
When dividing 200 by 105, we get 1 with a remainder of 95.
The number 1 becomes the next digit in our result. 
Result so far: 543924.01904761
Subtract 105 from 200 to get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

In conclusion, the division gives 543924.01904761 with a balance of 9.5e-08.