112164 ÷ 42 
The aim is to understand the frequency of 42 in 112164.

Advancing to step 1:
If we divide 1 by 42, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 42

Advancing to step 2:
The number 42 fits into 11 0 times, leaving a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 42

Step 3:
42 can be fit into 112 2 times, resulting in a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 84 from 112 to get 28.
Grab the next digit (1) from the dividend, add it to 28, then carry on: 281 / 42

Going ahead to step 4:
281 divided by 42 is 6 with a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Deduct 252 from 281 and we're left with 29.
Include the next digit (6) from the dividend after 29, then repeat: 296 / 42

Step 5:
42 can be fit into 296 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 267.0
If we take 294 away from 296, we end up with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 42

On to step 6:
24 divided by 42 is 0 with a remainder of 24.
Write down 0 as next digit of the result. 
Result so far: 2670.0
Subtracting 0 from 24 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.

On to step 7:
If we divide 240 by 42, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 2670.5
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
If we divide 300 by 42, we get 7 and a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 2670.57
Subtracting 294 from 300 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
When dividing 60 by 42, we get 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 2670.571
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 2670.5714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
42 goes into 120 2 times with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 2670.57142
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 2670.571428
Subtracting 336 from 360 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.

Moving on to step 13:
42 goes into 240 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 2670.5714285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
When dividing 300 by 42, we get 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 2670.57142857
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 2670.57142857 with a balance of 6e-09.