We look at the division of 105631 by 42 
The aim is to understand the frequency of 42 in 105631.

On to step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 42

Moving on to step 2:
When dividing 10 by 42, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 42

Let's proceed to step 3:
105 divided by 42 is 2 with a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 84 from 105 and we're left with 21.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 42

Step 4:
42 goes into 216 5 times with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 25.0
Deduct 210 from 216 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 42

Let's proceed to step 5:
If we divide 63 by 42, we get 1 and a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 251.0
Subtract 42 from 63 to get 21.
Include the next digit (1) from the dividend after 21, then repeat: 211 / 42

Going ahead to step 6:
When dividing 211 by 42, we get 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 2515.0
Subtract 210 from 211 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 42 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 2515.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
When dividing 100 by 42, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 2515.02
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
42 can be fit into 160 3 times, resulting in a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 2515.023
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 2515.0238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
42 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 2515.0238
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 2515.023809
If we take 378 away from 400, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
220 divided by 42 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2515.0238095
If we take 210 away from 220, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 2515.02380952
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 2515.02380952 with a balance of 1.6e-08.