We divide 112117 by 17
The aim is to understand the frequency of 17 in 112117.

Step 1:
17 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 17

Going ahead to step 2:
If we divide 11 by 17, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 17

Advancing to step 3:
17 can be fit into 112 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 102 from 112 and we're left with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 17

On to step 4:
The number 17 fits into 101 5 times, leaving a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we subtract 85 from 101, we get 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 17

On to step 5:
The number 17 fits into 161 9 times, leaving a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 659.0
If we take 153 away from 161, we end up with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 17

Step 6:
87 divided by 17 is 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 6595.0
Subtracting 85 from 87 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
17 goes into 20 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 6595.1
Subtract 17 from 20 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
17 can be fit into 30 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 6595.11
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 6595.11, and the remainder is 0.013.