We're dividing 407226 by 42 
The aim is to understand the frequency of 42 in 407226.

Moving on to step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 42

Advancing to step 2:
When dividing 40 by 42, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Take the next digit (7) from the dividend and append it to 40, then repeat: 407 / 42

Step 3:
If we divide 407 by 42, we get 9 and a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 378 away from 407, we end up with 29.
Take the next digit (2) from the dividend and append it to 29, then repeat: 292 / 42

Advancing to step 4:
When dividing 292 by 42, we get 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Subtract 252 from 292 to get 40.
Bring next digit (2) of the dividend behind the 40 and repeat the process: 402 / 42

Step 5:
The number 42 fits into 402 9 times, leaving a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 969.0
If we take 378 away from 402, we end up with 24.
Bring next digit (6) of the dividend behind the 24 and repeat the process: 246 / 42

Moving on to step 6:
When dividing 246 by 42, we get 5 with a remainder of 36.
Write down 5 as next digit of the result. 
Result so far: 9695.0
Deduct 210 from 246 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 9695.8
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 9695.85
If we take 210 away from 240, we end up 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.

Advancing to step 9:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 9695.857
If we subtract 294 from 300, we get 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 10:
60 divided by 42 is 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 9695.8571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
When dividing 180 by 42, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 9695.85714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
42 goes into 120 2 times with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 9695.857142
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
When dividing 360 by 42, we get 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 9695.8571428
Deduct 336 from 360 and we're left 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.

Step 14:
240 divided by 42 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 9695.85714285
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 9695.85714285, and the remainder is 3e-08.