34440765 ÷ 111 
The aim is to understand the frequency of 111 in 34440765.

Let's proceed to step 1:
The number 111 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 111

On to step 2:
When dividing 34 by 111, we get 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 111

Going ahead to step 3:
If we divide 344 by 111, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 333 from 344 leaves us with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 111

Step 4:
111 can be fit into 114 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
If we take 111 away from 114, we end up with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 111

Step 5:
111 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 310.0
Deduct 0 from 30 and we're left with 30.
Append the next digit (7) from the dividend to 30 and continue with: 307 / 111

Going ahead to step 6:
When dividing 307 by 111, we get 2 with a remainder of 85.
The next digit of our result is 2. 
Result so far: 3102.0
The remainder is 85 after subtracting 222 from 307.
Include the next digit (6) from the dividend after 85, then repeat: 856 / 111

Let's proceed to step 7:
If we divide 856 by 111, we get 7 and a remainder of 79.
Put 7 as the next digit of the answer. 
Result so far: 31027.0
If we take 777 away from 856, we end up with 79.
Include the next digit (5) from the dividend after 79, then repeat: 795 / 111

Let's proceed to step 8:
If we divide 795 by 111, we get 7 and a remainder of 18.
The next digit of our result is 7. 
Result so far: 310277.0
Subtract 777 from 795 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
If we divide 180 by 111, we get 1 and a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 310277.1
Subtracting 111 from 180 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Moving on to step 10:
111 can be fit into 690 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 310277.16
Subtract 666 from 690 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
111 goes into 240 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 310277.162
If we subtract 222 from 240, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 12:
When dividing 180 by 111, we get 1 with a remainder of 69.
Record the quotient 1 as the next digit in the result. 
Result so far: 310277.1621
Subtract 111 from 180 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 13:
The number 111 fits into 690 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 310277.16216
If we take 666 away from 690, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 14:
When dividing 240 by 111, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 310277.162162
Subtract 222 from 240 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 15:
111 goes into 180 1 times with a remainder of 69.
Record the quotient 1 as the next digit in the result. 
Result so far: 310277.1621621
Deduct 111 from 180 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Moving on to step 16:
When dividing 690 by 111, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 310277.16216216
Deduct 666 from 690 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 310277.16216216, with a leftover of 2.4e-08.