Let's divide 408991 by 523
The aim is to understand the frequency of 523 in 408991.

Step 1:
If we divide 4 by 523, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 523

Let's proceed to step 2:
523 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Grab the next digit (8) from the dividend, add it to 40, then carry on: 408 / 523

Advancing to step 3:
408 divided by 523 is 0 with a remainder of 408.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 408, we get 408.
Fetch the next digit (9) from the dividend, attach it to 408 and continue: 4089 / 523

Step 4:
When dividing 4089 by 523, we get 7 with a remainder of 428.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 428 after subtracting 3661 from 4089.
Include the next digit (9) from the dividend after 428, then repeat: 4289 / 523

Advancing to step 5:
4289 divided by 523 is 8 with a remainder of 105.
Put 8 as the next digit of the answer. 
Result so far: 78.0
If we subtract 4184 from 4289, we get 105.
Grab the next digit (1) from the dividend, add it to 105, then carry on: 1051 / 523

Step 6:
If we divide 1051 by 523, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 782.0
Deduct 1046 from 1051 and we're left with 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 7:
523 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 782.0
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
The number 523 fits into 500 0 times, leaving a remainder of 500.
The next digit of our result is 0. 
Result so far: 782.0
Subtracting 0 from 500 leaves us with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

After the division, we end up with 782.0 and a remainder of 0.5.