35587567 divided by 523 
The aim is to understand the frequency of 523 in 35587567.

Let's proceed to step 1:
The number 523 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 523

On to step 2:
The number 523 fits into 35 0 times, leaving a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 523

On to step 3:
523 goes into 355 0 times with a remainder of 355.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 355 and we're left with 355.
Append the next digit (8) from the dividend to 355 and continue with: 3558 / 523

Going ahead to step 4:
523 can be fit into 3558 6 times, resulting in a remainder of 420.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 3138 from 3558 leaves us with 420.
Grab the next digit (7) from the dividend, add it to 420, then carry on: 4207 / 523

Let's proceed to step 5:
4207 divided by 523 is 8 with a remainder of 23.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
If we subtract 4184 from 4207, we get 23.
Include the next digit (5) from the dividend after 23, then repeat: 235 / 523

Advancing to step 6:
235 divided by 523 is 0 with a remainder of 235.
The number 0 becomes the next digit in our result. 
Result so far: 680.0
The remainder is 235 after subtracting 0 from 235.
Include the next digit (6) from the dividend after 235, then repeat: 2356 / 523

Let's proceed to step 7:
523 can be fit into 2356 4 times, resulting in a remainder of 264.
Record the quotient 4 as the next digit in the result. 
Result so far: 6804.0
Deduct 2092 from 2356 and we're left with 264.
Grab the next digit (7) from the dividend, add it to 264, then carry on: 2647 / 523

Step 8:
523 goes into 2647 5 times with a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 68045.0
If we subtract 2615 from 2647, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
523 can be fit into 320 0 times, resulting in a remainder of 320.
The number 0 becomes the next digit in our result. 
Result so far: 68045.0
If we take 0 away from 320, we end up with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Advancing to step 10:
3200 divided by 523 is 6 with a remainder of 62.
Record the quotient 6 as the next digit in the result. 
Result so far: 68045.06
Subtract 3138 from 3200 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 11:
When dividing 620 by 523, we get 1 with a remainder of 97.
The next digit of our result is 1. 
Result so far: 68045.061
Subtract 523 from 620 to get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Advancing to step 12:
When dividing 970 by 523, we get 1 with a remainder of 447.
The next digit of our result is 1. 
Result so far: 68045.0611
The remainder is 447 after subtracting 523 from 970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

The final outcome is 68045.0611, with a leftover of 0.00447.