555410 ÷ 45 
The aim is to understand the frequency of 45 in 555410.

Let's proceed to step 1:
5 divided by 45 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 45

Going ahead to step 2:
The number 45 fits into 55 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 45 from 55 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 45

Moving on to step 3:
If we divide 105 by 45, we get 2 and a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 90 from 105 and we're left with 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 45

Step 4:
45 can be fit into 154 3 times, resulting in a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 123.0
If we subtract 135 from 154, we get 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 45

Step 5:
The number 45 fits into 191 4 times, leaving a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 1234.0
The remainder is 11 after subtracting 180 from 191.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 45

On to step 6:
45 can be fit into 110 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 12342.0
Deduct 90 from 110 and we're left 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.

Advancing to step 7:
When dividing 200 by 45, we get 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 12342.4
Subtract 180 from 200 to get 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 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 12342.44
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 12342.44, and the remainder is 0.02.