17117 divided by 75 
The aim is to understand the frequency of 75 in 17117.

Advancing to step 1:
1 divided by 75 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 75

Going ahead to step 2:
If we divide 17 by 75, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 75

Step 3:
If we divide 171 by 75, we get 2 and a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 150 from 171, we get 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 75

Advancing to step 4:
75 goes into 211 2 times with a remainder of 61.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtracting 150 from 211 leaves us with 61.
Append the next digit (7) from the dividend to 61 and continue with: 617 / 75

Step 5:
When dividing 617 by 75, we get 8 with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 228.0
If we subtract 600 from 617, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 6:
170 divided by 75 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 228.2
If we subtract 150 from 170, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
The number 75 fits into 200 2 times, leaving a remainder of 50.
Put 2 as the next digit of the answer. 
Result so far: 228.22
If we subtract 150 from 200, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 228.22 with a balance of 0.05.