498299 divided by 45 
The aim is to understand the frequency of 45 in 498299.

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
If we subtract 0 from 4, we get 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 45

Advancing to step 2:
When dividing 49 by 45, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 45 from 49 and we're left with 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 45

Going ahead to step 3:
When dividing 48 by 45, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 45 away from 48, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 45

Let's proceed to step 4:
When dividing 32 by 45, we get 0 with a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 110.0
The remainder is 32 after subtracting 0 from 32.
Append the next digit (9) from the dividend to 32 and continue with: 329 / 45

On to step 5:
If we divide 329 by 45, we get 7 and a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 1107.0
The remainder is 14 after subtracting 315 from 329.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 45

On to step 6:
If we divide 149 by 45, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 11073.0
If we take 135 away from 149, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
45 goes into 140 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 11073.3
Subtract 135 from 140 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
The number 45 fits into 50 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 11073.31
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 11073.311
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 11073.311, and the remainder is 0.0005.