438681 divided by 45 
The aim is to understand the frequency of 45 in 438681.

Going ahead to step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 45

On to step 2:
When dividing 43 by 45, we get 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Fetch the next digit (8) from the dividend, attach it to 43 and continue: 438 / 45

Let's proceed to step 3:
The number 45 fits into 438 9 times, leaving a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 405 from 438, we get 33.
Include the next digit (6) from the dividend after 33, then repeat: 336 / 45

Let's proceed to step 4:
45 can be fit into 336 7 times, resulting in a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 97.0
Subtracting 315 from 336 leaves us with 21.
Append the next digit (8) from the dividend to 21 and continue with: 218 / 45

Let's proceed to step 5:
218 divided by 45 is 4 with a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 974.0
Deduct 180 from 218 and we're left with 38.
Bring next digit (1) of the dividend behind the 38 and repeat the process: 381 / 45

Moving on to step 6:
The number 45 fits into 381 8 times, leaving a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 9748.0
The remainder is 21 after subtracting 360 from 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
210 divided by 45 is 4 with a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 9748.4
Subtracting 180 from 210 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 9748.46
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
300 divided by 45 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 9748.466
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 9748.466 with a balance of 0.003.