118 divided by 91 
The aim is to understand the frequency of 91 in 118.

Going ahead to step 1:
91 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 91

Advancing to step 2:
91 goes into 11 0 times with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 91

On to step 3:
118 divided by 91 is 1 with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 91 from 118 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 4:
91 can be fit into 270 2 times, resulting in a remainder of 88.
Use 2 as the next digit of our solution. 
Result so far: 1.2
Subtracting 182 from 270 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 5:
91 can be fit into 880 9 times, resulting in a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 1.29
If we take 819 away from 880, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 6:
91 can be fit into 610 6 times, resulting in a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 1.296
The remainder is 64 after subtracting 546 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 7:
When dividing 640 by 91, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 1.2967
If we take 637 away from 640, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
When dividing 30 by 91, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1.2967
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
When dividing 300 by 91, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 1.296703
If we take 273 away from 300, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 10:
91 goes into 270 2 times with a remainder of 88.
The number 2 becomes the next digit in our result. 
Result so far: 1.2967032
Subtracting 182 from 270 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 11:
If we divide 880 by 91, we get 9 and a remainder of 61.
The next digit of our result is 9. 
Result so far: 1.29670329
Deduct 819 from 880 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

The quotient of the division is 1.29670329, and the remainder is 6.1e-08.