451043 ÷ 31 
The aim is to understand the frequency of 31 in 451043.

Moving on to step 1:
31 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 31

Advancing to step 2:
31 goes into 45 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 31 away from 45, we end up with 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 31

Step 3:
31 can be fit into 141 4 times, resulting in a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 124 from 141 and we're left with 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 31

Moving on to step 4:
If we divide 170 by 31, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 145.0
If we subtract 155 from 170, we get 15.
Append the next digit (4) from the dividend to 15 and continue with: 154 / 31

Step 5:
31 goes into 154 4 times with a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 1454.0
Deduct 124 from 154 and we're left with 30.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 31

Going ahead to step 6:
31 goes into 303 9 times with a remainder of 24.
The number 9 becomes the next digit in our result. 
Result so far: 14549.0
Subtract 279 from 303 to 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.

Going ahead to step 7:
31 can be fit into 240 7 times, resulting in a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 14549.7
If we subtract 217 from 240, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
230 divided by 31 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 14549.77
Subtract 217 from 230 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.

The quotient of the division is 14549.77, and the remainder is 0.013.