35359084 ÷ 311 
The aim is to understand the frequency of 311 in 35359084.

On to step 1:
When dividing 3 by 311, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 311

Going ahead to step 2:
311 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 311

Advancing to step 3:
If we divide 353 by 311, we get 1 and a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 42 after subtracting 311 from 353.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 311

Moving on to step 4:
The number 311 fits into 425 1 times, leaving a remainder of 114.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 311 from 425 to get 114.
Fetch the next digit (9) from the dividend, attach it to 114 and continue: 1149 / 311

Going ahead to step 5:
When dividing 1149 by 311, we get 3 with a remainder of 216.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
Subtract 933 from 1149 to get 216.
Bring next digit (0) of the dividend behind the 216 and repeat the process: 2160 / 311

On to step 6:
2160 divided by 311 is 6 with a remainder of 294.
Write down 6 as next digit of the result. 
Result so far: 1136.0
Subtract 1866 from 2160 to get 294.
Fetch the next digit (8) from the dividend, attach it to 294 and continue: 2948 / 311

On to step 7:
2948 divided by 311 is 9 with a remainder of 149.
Use 9 as the next digit of our solution. 
Result so far: 11369.0
Deduct 2799 from 2948 and we're left with 149.
Take the next digit (4) from the dividend and append it to 149, then repeat: 1494 / 311

Going ahead to step 8:
If we divide 1494 by 311, we get 4 and a remainder of 250.
Use 4 as the next digit of our solution. 
Result so far: 113694.0
If we take 1244 away from 1494, we end up with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Step 9:
When dividing 2500 by 311, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 113694.8
The remainder is 12 after subtracting 2488 from 2500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
The number 311 fits into 120 0 times, leaving a remainder of 120.
Write down 0 as next digit of the result. 
Result so far: 113694.8
Subtract 0 from 120 to get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Advancing to step 11:
If we divide 1200 by 311, we get 3 and a remainder of 267.
The number 3 becomes the next digit in our result. 
Result so far: 113694.803
Subtracting 933 from 1200 leaves us with 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

On to step 12:
311 goes into 2670 8 times with a remainder of 182.
The next digit of our result is 8. 
Result so far: 113694.8038
Deduct 2488 from 2670 and we're left with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Advancing to step 13:
If we divide 1820 by 311, we get 5 and a remainder of 265.
Write down 5 as next digit of the result. 
Result so far: 113694.80385
Deduct 1555 from 1820 and we're left with 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

On to step 14:
If we divide 2650 by 311, we get 8 and a remainder of 162.
Record the quotient 8 as the next digit in the result. 
Result so far: 113694.803858
If we subtract 2488 from 2650, we get 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Advancing to step 15:
311 goes into 1620 5 times with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 113694.8038585
If we take 1555 away from 1620, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 16:
311 can be fit into 650 2 times, resulting in a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 113694.80385852
Deduct 622 from 650 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 113694.80385852 and a remainder of 2.8e-08.