634969 ÷ 42 
The aim is to understand the frequency of 42 in 634969.

Moving on to step 1:
The number 42 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 42

Advancing to step 2:
If we divide 63 by 42, we get 1 and a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 63, we get 21.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 42

Step 3:
If we divide 214 by 42, we get 5 and a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 210 away from 214, we end up with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 42

On to step 4:
The number 42 fits into 49 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 151.0
The remainder is 7 after subtracting 42 from 49.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 42

On to step 5:
42 can be fit into 76 1 times, resulting in a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 1511.0
Subtracting 42 from 76 leaves us with 34.
Bring next digit (9) of the dividend behind the 34 and repeat the process: 349 / 42

Going ahead to step 6:
If we divide 349 by 42, we get 8 and a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 15118.0
Subtract 336 from 349 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
130 divided by 42 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 15118.3
Subtract 126 from 130 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 42 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 15118.3
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.

Let's proceed to step 9:
42 goes into 400 9 times with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 15118.309
Deduct 378 from 400 and we're left 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.

Advancing to step 10:
42 goes into 220 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 15118.3095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
42 goes into 100 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 15118.30952
Subtract 84 from 100 to get 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 12:
When dividing 160 by 42, we get 3 with a remainder of 34.
The next digit of our result is 3. 
Result so far: 15118.309523
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.

Going ahead to step 13:
When dividing 340 by 42, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 15118.3095238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
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: 15118.3095238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 15118.3095238 with a remaining 4e-08.