We're dividing 637108 by 42 
The aim is to understand the frequency of 42 in 637108.

Advancing to step 1:
6 divided by 42 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 42

Let's proceed to step 2:
42 goes into 63 1 times with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 42 away from 63, we end up with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 42

Going ahead to step 3:
If we divide 217 by 42, we get 5 and a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 210 from 217 to get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 42

On to step 4:
The number 42 fits into 71 1 times, leaving a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 151.0
Deduct 42 from 71 and we're left with 29.
Fetch the next digit (0) from the dividend, attach it to 29 and continue: 290 / 42

Let's proceed to step 5:
When dividing 290 by 42, we get 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 1516.0
Deduct 252 from 290 and we're left with 38.
Take the next digit (8) from the dividend and append it to 38, then repeat: 388 / 42

Moving on to step 6:
42 can be fit into 388 9 times, resulting in a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 15169.0
The remainder is 10 after subtracting 378 from 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
The number 42 fits into 100 2 times, leaving a remainder of 16.
The next digit of our result is 2. 
Result so far: 15169.2
Subtracting 84 from 100 leaves us 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.

Step 8:
When dividing 160 by 42, we get 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 15169.23
If we take 126 away from 160, we end up 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.

Advancing to step 9:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 15169.238
Subtracting 336 from 340 leaves us 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.

On to step 10:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 15169.238
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.

On to step 11:
42 goes into 400 9 times with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 15169.23809
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.

Let's proceed to step 12:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 15169.238095
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.

On to step 13:
If we divide 100 by 42, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 15169.2380952
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 14:
42 goes into 160 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 15169.23809523
Subtracting 126 from 160 leaves us 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.

The quotient of the division is 15169.23809523, and the remainder is 3.4e-08.