97519893 ÷ 965 
The aim is to understand the frequency of 965 in 97519893.

Let's proceed to step 1:
9 divided by 965 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 965

On to step 2:
When dividing 97 by 965, we get 0 with a remainder of 97.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 97 after subtracting 0 from 97.
Grab the next digit (5) from the dividend, add it to 97, then carry on: 975 / 965

Step 3:
When dividing 975 by 965, we get 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 965 from 975 to get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 965

Let's proceed to step 4:
When dividing 101 by 965, we get 0 with a remainder of 101.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 101 to get 101.
Append the next digit (9) from the dividend to 101 and continue with: 1019 / 965

Going ahead to step 5:
965 can be fit into 1019 1 times, resulting in a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Deduct 965 from 1019 and we're left with 54.
Fetch the next digit (8) from the dividend, attach it to 54 and continue: 548 / 965

Moving on to step 6:
If we divide 548 by 965, we get 0 and a remainder of 548.
The number 0 becomes the next digit in our result. 
Result so far: 1010.0
If we subtract 0 from 548, we get 548.
Fetch the next digit (9) from the dividend, attach it to 548 and continue: 5489 / 965

Advancing to step 7:
965 goes into 5489 5 times with a remainder of 664.
The next digit of our result is 5. 
Result so far: 10105.0
If we subtract 4825 from 5489, we get 664.
Bring next digit (3) of the dividend behind the 664 and repeat the process: 6643 / 965

Advancing to step 8:
965 goes into 6643 6 times with a remainder of 853.
Write down 6 as next digit of the result. 
Result so far: 101056.0
Subtract 5790 from 6643 to get 853.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8530, and continue the process.

Going ahead to step 9:
The number 965 fits into 8530 8 times, leaving a remainder of 810.
Write down 8 as next digit of the result. 
Result so far: 101056.8
If we subtract 7720 from 8530, we get 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8100, and continue the process.

Advancing to step 10:
8100 divided by 965 is 8 with a remainder of 380.
The number 8 becomes the next digit in our result. 
Result so far: 101056.88
If we take 7720 away from 8100, we end up with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

The quotient of the division is 101056.88, and the remainder is 0.38.