11045719 ÷ 825 
The aim is to understand the frequency of 825 in 11045719.

Moving on to step 1:
When dividing 1 by 825, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 825

Moving on to step 2:
825 can be fit into 11 0 times, resulting in a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 825

Going ahead to step 3:
When dividing 110 by 825, we get 0 with a remainder of 110.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 110, we get 110.
Fetch the next digit (4) from the dividend, attach it to 110 and continue: 1104 / 825

Going ahead to step 4:
825 can be fit into 1104 1 times, resulting in a remainder of 279.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 825 from 1104, we get 279.
Take the next digit (5) from the dividend and append it to 279, then repeat: 2795 / 825

Moving on to step 5:
825 can be fit into 2795 3 times, resulting in a remainder of 320.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 2475 from 2795 leaves us with 320.
Bring next digit (7) of the dividend behind the 320 and repeat the process: 3207 / 825

Going ahead to step 6:
The number 825 fits into 3207 3 times, leaving a remainder of 732.
Record the quotient 3 as the next digit in the result. 
Result so far: 133.0
Subtract 2475 from 3207 to get 732.
Bring next digit (1) of the dividend behind the 732 and repeat the process: 7321 / 825

Moving on to step 7:
When dividing 7321 by 825, we get 8 with a remainder of 721.
The next digit of our result is 8. 
Result so far: 1338.0
Subtracting 6600 from 7321 leaves us with 721.
Grab the next digit (9) from the dividend, add it to 721, then carry on: 7219 / 825

Advancing to step 8:
825 goes into 7219 8 times with a remainder of 619.
Put 8 as the next digit of the answer. 
Result so far: 13388.0
If we take 6600 away from 7219, we end up with 619.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6190, and continue the process.

Advancing to step 9:
6190 divided by 825 is 7 with a remainder of 415.
Record the quotient 7 as the next digit in the result. 
Result so far: 13388.7
Deduct 5775 from 6190 and we're left with 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Going ahead to step 10:
When dividing 4150 by 825, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 13388.75
Subtracting 4125 from 4150 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 11:
If we divide 250 by 825, we get 0 and a remainder of 250.
Record the quotient 0 as the next digit in the result. 
Result so far: 13388.75
Subtract 0 from 250 to get 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Step 12:
2500 divided by 825 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 13388.7503
Subtracting 2475 from 2500 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 13:
825 goes into 250 0 times with a remainder of 250.
The next digit of our result is 0. 
Result so far: 13388.7503
Deduct 0 from 250 and we're left 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.

Advancing to step 14:
2500 divided by 825 is 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 13388.750303
The remainder is 25 after subtracting 2475 from 2500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 15:
250 divided by 825 is 0 with a remainder of 250.
Put 0 as the next digit of the answer. 
Result so far: 13388.750303
Deduct 0 from 250 and we're left 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.

Step 16:
When dividing 2500 by 825, we get 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 13388.75030303
The remainder is 25 after subtracting 2475 from 2500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 13388.75030303 with a balance of 2.5e-08.