425321 ÷ 42 
The aim is to understand the frequency of 42 in 425321.

Going ahead to step 1:
If we divide 4 by 42, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 42

Step 2:
42 can be fit into 42 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 42 away from 42, we end up with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 42

Step 3:
42 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 5, we get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 42

Step 4:
42 can be fit into 53 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 101.0
Subtracting 42 from 53 leaves us with 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 42

Advancing to step 5:
If we divide 112 by 42, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 1012.0
If we take 84 away from 112, we end up with 28.
Grab the next digit (1) from the dividend, add it to 28, then carry on: 281 / 42

Advancing to step 6:
42 goes into 281 6 times with a remainder of 29.
Write down 6 as next digit of the result. 
Result so far: 10126.0
Subtract 252 from 281 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
If we divide 290 by 42, we get 6 and a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 10126.6
Subtract 252 from 290 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 10126.69
Subtracting 378 from 380 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
The number 42 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10126.69
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 10126.6904
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
42 goes into 320 7 times with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 10126.69047
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
42 can be fit into 260 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 10126.690476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
When dividing 80 by 42, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 10126.6904761
Subtract 42 from 80 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 14:
If we divide 380 by 42, we get 9 and a remainder of 2.
The next digit of our result is 9. 
Result so far: 10126.69047619
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 10126.69047619 with a remainder of 2e-09.