We're dividing 314419 by 91 
The aim is to understand the frequency of 91 in 314419.

Step 1:
If we divide 3 by 91, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 91

On to step 2:
The number 91 fits into 31 0 times, leaving a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 91

Advancing to step 3:
314 divided by 91 is 3 with a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 41 after subtracting 273 from 314.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 91

On to step 4:
414 divided by 91 is 4 with a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we subtract 364 from 414, we get 50.
Bring next digit (1) of the dividend behind the 50 and repeat the process: 501 / 91

Going ahead to step 5:
501 divided by 91 is 5 with a remainder of 46.
The next digit of our result is 5. 
Result so far: 345.0
If we subtract 455 from 501, we get 46.
Grab the next digit (9) from the dividend, add it to 46, then carry on: 469 / 91

Moving on to step 6:
91 goes into 469 5 times with a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 3455.0
Subtract 455 from 469 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 91 is 1 with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 3455.1
Subtract 91 from 140 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 8:
490 divided by 91 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 3455.15
Deduct 455 from 490 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
When dividing 350 by 91, we get 3 with a remainder of 77.
Use 3 as the next digit of our solution. 
Result so far: 3455.153
If we subtract 273 from 350, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 10:
91 can be fit into 770 8 times, resulting in a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 3455.1538
Subtracting 728 from 770 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
91 goes into 420 4 times with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 3455.15384
Subtracting 364 from 420 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 12:
560 divided by 91 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 3455.153846
The remainder is 14 after subtracting 546 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
140 divided by 91 is 1 with a remainder of 49.
The next digit of our result is 1. 
Result so far: 3455.1538461
Subtracting 91 from 140 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 14:
The number 91 fits into 490 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 3455.15384615
Subtracting 455 from 490 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 3455.15384615 with a remainder of 3.5e-08.