We're dividing 311589 by 35 
The aim is to understand the frequency of 35 in 311589.

Step 1:
35 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 35

On to step 2:
35 goes into 31 0 times with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 35

Advancing to step 3:
If we divide 311 by 35, we get 8 and a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 280 from 311 leaves us with 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 35

On to step 4:
When dividing 315 by 35, we get 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
If we subtract 315 from 315, we get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 35

Advancing to step 5:
If we divide 8 by 35, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 890.0
Subtract 0 from 8 to get 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 35

Going ahead to step 6:
35 can be fit into 89 2 times, resulting in a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 8902.0
Deduct 70 from 89 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
35 goes into 190 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 8902.5
Deduct 175 from 190 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
150 divided by 35 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 8902.54
If we take 140 away from 150, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
35 goes into 100 2 times with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 8902.542
If we take 70 away from 100, we end up 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 10:
When dividing 300 by 35, we get 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 8902.5428
Subtract 280 from 300 to 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.

Let's proceed to step 11:
200 divided by 35 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 8902.54285
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
35 goes into 250 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 8902.542857
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
If we divide 50 by 35, we get 1 and a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 8902.5428571
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 14:
150 divided by 35 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 8902.54285714
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 8902.54285714, and the remainder is 1e-08.