478442 ÷ 45 
The aim is to understand the frequency of 45 in 478442.

On to step 1:
The number 45 fits into 4 0 times, leaving 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.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 45

Moving on to step 2:
47 divided by 45 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 45 from 47 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 45

Going ahead to step 3:
45 can be fit into 28 0 times, resulting in a remainder of 28.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 28, we get 28.
Bring next digit (4) of the dividend behind the 28 and repeat the process: 284 / 45

Advancing to step 4:
The number 45 fits into 284 6 times, leaving a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 106.0
Subtract 270 from 284 to get 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 45

Going ahead to step 5:
If we divide 144 by 45, we get 3 and a remainder of 9.
The next digit of our result is 3. 
Result so far: 1063.0
The remainder is 9 after subtracting 135 from 144.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 45

On to step 6:
If we divide 92 by 45, we get 2 and a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 10632.0
Deduct 90 from 92 and we're left 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.

Step 7:
When dividing 20 by 45, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10632.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
200 divided by 45 is 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 10632.04
Deduct 180 from 200 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.

Step 9:
45 goes into 200 4 times with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 10632.044
The remainder is 20 after subtracting 180 from 200.
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 10632.044, and the remainder is 0.002.