420801 ÷ 31 
The aim is to understand the frequency of 31 in 420801.

Moving on to step 1:
31 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 31

Let's proceed to step 2:
31 goes into 42 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 31 from 42 to get 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 31

Going ahead to step 3:
31 goes into 110 3 times with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 17 after subtracting 93 from 110.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 31

Step 4:
The number 31 fits into 178 5 times, leaving a remainder of 23.
The next digit of our result is 5. 
Result so far: 135.0
The remainder is 23 after subtracting 155 from 178.
Take the next digit (0) from the dividend and append it to 23, then repeat: 230 / 31

Let's proceed to step 5:
31 goes into 230 7 times with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 1357.0
If we take 217 away from 230, we end up with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 31

Going ahead to step 6:
31 can be fit into 131 4 times, resulting in a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 13574.0
The remainder is 7 after subtracting 124 from 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
If we divide 70 by 31, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 13574.2
The remainder is 8 after subtracting 62 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
The number 31 fits into 80 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 13574.22
Subtracting 62 from 80 leaves us 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.

Our division results in 13574.22 with a remaining 0.018.