11140742 ÷ 829 
The aim is to understand the frequency of 829 in 11140742.

On to step 1:
If we divide 1 by 829, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 829

Step 2:
When dividing 11 by 829, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 829

Step 3:
If we divide 111 by 829, we get 0 and a remainder of 111.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 111 to get 111.
Take the next digit (4) from the dividend and append it to 111, then repeat: 1114 / 829

On to step 4:
When dividing 1114 by 829, we get 1 with a remainder of 285.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 829 from 1114 to get 285.
Grab the next digit (0) from the dividend, add it to 285, then carry on: 2850 / 829

Moving on to step 5:
The number 829 fits into 2850 3 times, leaving a remainder of 363.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 2487 from 2850 to get 363.
Fetch the next digit (7) from the dividend, attach it to 363 and continue: 3637 / 829

Let's proceed to step 6:
829 can be fit into 3637 4 times, resulting in a remainder of 321.
Record the quotient 4 as the next digit in the result. 
Result so far: 134.0
If we take 3316 away from 3637, we end up with 321.
Grab the next digit (4) from the dividend, add it to 321, then carry on: 3214 / 829

Moving on to step 7:
829 can be fit into 3214 3 times, resulting in a remainder of 727.
Put 3 as the next digit of the answer. 
Result so far: 1343.0
The remainder is 727 after subtracting 2487 from 3214.
Include the next digit (2) from the dividend after 727, then repeat: 7272 / 829

Let's proceed to step 8:
829 goes into 7272 8 times with a remainder of 640.
Write down 8 as next digit of the result. 
Result so far: 13438.0
If we subtract 6632 from 7272, we get 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Step 9:
829 goes into 6400 7 times with a remainder of 597.
Put 7 as the next digit of the answer. 
Result so far: 13438.7
If we subtract 5803 from 6400, we get 597.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5970, and continue the process.

Let's proceed to step 10:
829 can be fit into 5970 7 times, resulting in a remainder of 167.
Write down 7 as next digit of the result. 
Result so far: 13438.77
If we take 5803 away from 5970, we end up with 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1670, and continue the process.

The final result is 13438.77 with a remainder of 0.167.