We look at the division of 10824519 by 586 
The aim is to understand the frequency of 586 in 10824519.

Moving on to step 1:
The number 586 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 586

On to step 2:
If we divide 10 by 586, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 586

Step 3:
108 divided by 586 is 0 with a remainder of 108.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 108, we end up with 108.
Append the next digit (2) from the dividend to 108 and continue with: 1082 / 586

Moving on to step 4:
The number 586 fits into 1082 1 times, leaving a remainder of 496.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 496 after subtracting 586 from 1082.
Fetch the next digit (4) from the dividend, attach it to 496 and continue: 4964 / 586

Let's proceed to step 5:
When dividing 4964 by 586, we get 8 with a remainder of 276.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
If we take 4688 away from 4964, we end up with 276.
Take the next digit (5) from the dividend and append it to 276, then repeat: 2765 / 586

Moving on to step 6:
586 can be fit into 2765 4 times, resulting in a remainder of 421.
The next digit of our result is 4. 
Result so far: 184.0
If we subtract 2344 from 2765, we get 421.
Include the next digit (1) from the dividend after 421, then repeat: 4211 / 586

Step 7:
If we divide 4211 by 586, we get 7 and a remainder of 109.
Use 7 as the next digit of our solution. 
Result so far: 1847.0
The remainder is 109 after subtracting 4102 from 4211.
Grab the next digit (9) from the dividend, add it to 109, then carry on: 1099 / 586

Moving on to step 8:
When dividing 1099 by 586, we get 1 with a remainder of 513.
Put 1 as the next digit of the answer. 
Result so far: 18471.0
If we subtract 586 from 1099, we get 513.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5130, and continue the process.

Step 9:
If we divide 5130 by 586, we get 8 and a remainder of 442.
The next digit of our result is 8. 
Result so far: 18471.8
If we take 4688 away from 5130, we end up with 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

On to step 10:
When dividing 4420 by 586, we get 7 with a remainder of 318.
Use 7 as the next digit of our solution. 
Result so far: 18471.87
The remainder is 318 after subtracting 4102 from 4420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Advancing to step 11:
When dividing 3180 by 586, we get 5 with a remainder of 250.
Record the quotient 5 as the next digit in the result. 
Result so far: 18471.875
Subtracting 2930 from 3180 leaves us with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Let's proceed to step 12:
2500 divided by 586 is 4 with a remainder of 156.
Record the quotient 4 as the next digit in the result. 
Result so far: 18471.8754
Subtracting 2344 from 2500 leaves us with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Moving on to step 13:
586 can be fit into 1560 2 times, resulting in a remainder of 388.
The number 2 becomes the next digit in our result. 
Result so far: 18471.87542
If we subtract 1172 from 1560, we get 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

Going ahead to step 14:
If we divide 3880 by 586, we get 6 and a remainder of 364.
Write down 6 as next digit of the result. 
Result so far: 18471.875426
Deduct 3516 from 3880 and we're left with 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

On to step 15:
586 goes into 3640 6 times with a remainder of 124.
Write down 6 as next digit of the result. 
Result so far: 18471.8754266
If we subtract 3516 from 3640, we get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

In conclusion, the division gives 18471.8754266 with a balance of 1.24e-06.