697841 ÷ 110 
The aim is to understand the frequency of 110 in 697841.

Step 1:
The number 110 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 110

On to step 2:
If we divide 69 by 110, we get 0 and a remainder of 69.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 69, we end up with 69.
Take the next digit (7) from the dividend and append it to 69, then repeat: 697 / 110

Going ahead to step 3:
110 can be fit into 697 6 times, resulting in a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 660 from 697, we get 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 110

Going ahead to step 4:
If we divide 378 by 110, we get 3 and a remainder of 48.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we take 330 away from 378, we end up with 48.
Fetch the next digit (4) from the dividend, attach it to 48 and continue: 484 / 110

Advancing to step 5:
If we divide 484 by 110, we get 4 and a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 634.0
Subtract 440 from 484 to get 44.
Take the next digit (1) from the dividend and append it to 44, then repeat: 441 / 110

Step 6:
If we divide 441 by 110, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 6344.0
If we take 440 away from 441, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
110 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6344.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
110 goes into 100 0 times with a remainder of 100.
Write down 0 as next digit of the result. 
Result so far: 6344.0
Subtract 0 from 100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The quotient of the division is 6344.0, and the remainder is 0.1.