31075102 divided by 45 
The aim is to understand the frequency of 45 in 31075102.

Moving on to step 1:
45 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 45

On to step 2:
When dividing 31 by 45, we get 0 with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 45

Step 3:
If we divide 310 by 45, we get 6 and a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 40 after subtracting 270 from 310.
Take the next digit (7) from the dividend and append it to 40, then repeat: 407 / 45

On to step 4:
45 goes into 407 9 times with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
Subtract 405 from 407 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 45

On to step 5:
45 goes into 25 0 times with a remainder of 25.
The next digit of our result is 0. 
Result so far: 690.0
Subtracting 0 from 25 leaves us with 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 45

Step 6:
251 divided by 45 is 5 with a remainder of 26.
Write down 5 as next digit of the result. 
Result so far: 6905.0
If we take 225 away from 251, we end up with 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 45

Advancing to step 7:
260 divided by 45 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 69055.0
If we subtract 225 from 260, we get 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 45

On to step 8:
If we divide 352 by 45, we get 7 and a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 690557.0
The remainder is 37 after subtracting 315 from 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 9:
When dividing 370 by 45, we get 8 with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 690557.8
Subtracting 360 from 370 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
If we divide 100 by 45, we get 2 and a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 690557.82
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 690557.822
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 690557.822 with a remainder of 0.001.