598105 ÷ 45 
The aim is to understand the frequency of 45 in 598105.

Advancing to step 1:
The number 45 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 45

On to step 2:
59 divided by 45 is 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 45 away from 59, we end up with 14.
Bring next digit (8) of the dividend behind the 14 and repeat the process: 148 / 45

Moving on to step 3:
If we divide 148 by 45, we get 3 and a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 135 from 148 and we're left with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 45

On to step 4:
The number 45 fits into 131 2 times, leaving a remainder of 41.
Use 2 as the next digit of our solution. 
Result so far: 132.0
If we take 90 away from 131, we end up with 41.
Take the next digit (0) from the dividend and append it to 41, then repeat: 410 / 45

On to step 5:
410 divided by 45 is 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 1329.0
The remainder is 5 after subtracting 405 from 410.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 45

Let's proceed to step 6:
45 can be fit into 55 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 13291.0
Subtracting 45 from 55 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.

Step 7:
When dividing 100 by 45, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 13291.2
If we take 90 away from 100, we end up 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.

Advancing to step 8:
When dividing 100 by 45, we get 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 13291.22
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 13291.22, and the remainder is 0.01.