110714 ÷ 42 
The aim is to understand the frequency of 42 in 110714.

Let's proceed to step 1:
1 divided by 42 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 42

Going ahead to step 2:
When dividing 11 by 42, we get 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 42

On to step 3:
110 divided by 42 is 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 84 away from 110, we end up with 26.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 42

On to step 4:
The number 42 fits into 267 6 times, leaving a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Deduct 252 from 267 and we're left with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 42

Going ahead to step 5:
42 can be fit into 151 3 times, resulting in a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 263.0
If we take 126 away from 151, we end up with 25.
Fetch the next digit (4) from the dividend, attach it to 25 and continue: 254 / 42

On to step 6:
42 goes into 254 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 2636.0
Subtract 252 from 254 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 2636.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
If we divide 200 by 42, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 2636.04
The remainder is 32 after subtracting 168 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 42, we get 7 and a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 2636.047
If we subtract 294 from 320, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 10:
If we divide 260 by 42, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 2636.0476
If we subtract 252 from 260, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
When dividing 80 by 42, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 2636.04761
Deduct 42 from 80 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
The number 42 fits into 380 9 times, leaving a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 2636.047619
Subtracting 378 from 380 leaves us 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.

Step 13:
The number 42 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2636.047619
Subtract 0 from 20 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 14:
200 divided by 42 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 2636.04761904
Subtract 168 from 200 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 2636.04761904 with a balance of 3.2e-08.