10531583 ÷ 824 
The aim is to understand the frequency of 824 in 10531583.

On to step 1:
The number 824 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 824

Going ahead to step 2:
If we divide 10 by 824, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 824

Advancing to step 3:
When dividing 105 by 824, we get 0 with a remainder of 105.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 105 and we're left with 105.
Fetch the next digit (3) from the dividend, attach it to 105 and continue: 1053 / 824

Going ahead to step 4:
The number 824 fits into 1053 1 times, leaving a remainder of 229.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 229 after subtracting 824 from 1053.
Grab the next digit (1) from the dividend, add it to 229, then carry on: 2291 / 824

On to step 5:
2291 divided by 824 is 2 with a remainder of 643.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 1648 from 2291 to get 643.
Append the next digit (5) from the dividend to 643 and continue with: 6435 / 824

Let's proceed to step 6:
824 goes into 6435 7 times with a remainder of 667.
Write down 7 as next digit of the result. 
Result so far: 127.0
If we take 5768 away from 6435, we end up with 667.
Bring next digit (8) of the dividend behind the 667 and repeat the process: 6678 / 824

On to step 7:
824 goes into 6678 8 times with a remainder of 86.
Put 8 as the next digit of the answer. 
Result so far: 1278.0
Subtracting 6592 from 6678 leaves us with 86.
Append the next digit (3) from the dividend to 86 and continue with: 863 / 824

Advancing to step 8:
The number 824 fits into 863 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 12781.0
Subtract 824 from 863 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 9:
If we divide 390 by 824, we get 0 and a remainder of 390.
The next digit of our result is 0. 
Result so far: 12781.0
If we subtract 0 from 390, we get 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Advancing to step 10:
The number 824 fits into 3900 4 times, leaving a remainder of 604.
Record the quotient 4 as the next digit in the result. 
Result so far: 12781.04
If we take 3296 away from 3900, we end up with 604.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

Moving on to step 11:
6040 divided by 824 is 7 with a remainder of 272.
The next digit of our result is 7. 
Result so far: 12781.047
If we subtract 5768 from 6040, we get 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Let's proceed to step 12:
If we divide 2720 by 824, we get 3 and a remainder of 248.
The next digit of our result is 3. 
Result so far: 12781.0473
Subtract 2472 from 2720 to get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Going ahead to step 13:
2480 divided by 824 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 12781.04733
If we take 2472 away from 2480, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 12781.04733 with a remaining 8e-06.