We look at the division of 31145953 by 511 
The aim is to understand the frequency of 511 in 31145953.

Step 1:
If we divide 3 by 511, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 511

On to step 2:
If we divide 31 by 511, we get 0 and a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 511

Let's proceed to step 3:
If we divide 311 by 511, we get 0 and a remainder of 311.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 311 and we're left with 311.
Fetch the next digit (4) from the dividend, attach it to 311 and continue: 3114 / 511

On to step 4:
When dividing 3114 by 511, we get 6 with a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 3066 from 3114, we get 48.
Grab the next digit (5) from the dividend, add it to 48, then carry on: 485 / 511

Going ahead to step 5:
511 can be fit into 485 0 times, resulting in a remainder of 485.
Use 0 as the next digit of our solution. 
Result so far: 60.0
If we subtract 0 from 485, we get 485.
Fetch the next digit (9) from the dividend, attach it to 485 and continue: 4859 / 511

Moving on to step 6:
The number 511 fits into 4859 9 times, leaving a remainder of 260.
Record the quotient 9 as the next digit in the result. 
Result so far: 609.0
If we take 4599 away from 4859, we end up with 260.
Grab the next digit (5) from the dividend, add it to 260, then carry on: 2605 / 511

Let's proceed to step 7:
When dividing 2605 by 511, we get 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6095.0
If we subtract 2555 from 2605, we get 50.
Append the next digit (3) from the dividend to 50 and continue with: 503 / 511

Going ahead to step 8:
If we divide 503 by 511, we get 0 and a remainder of 503.
Put 0 as the next digit of the answer. 
Result so far: 60950.0
Deduct 0 from 503 and we're left with 503.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5030, and continue the process.

Let's proceed to step 9:
511 can be fit into 5030 9 times, resulting in a remainder of 431.
Put 9 as the next digit of the answer. 
Result so far: 60950.9
Subtracting 4599 from 5030 leaves us with 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4310, and continue the process.

Step 10:
If we divide 4310 by 511, we get 8 and a remainder of 222.
The next digit of our result is 8. 
Result so far: 60950.98
Subtract 4088 from 4310 to get 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

On to step 11:
511 goes into 2220 4 times with a remainder of 176.
Record the quotient 4 as the next digit in the result. 
Result so far: 60950.984
If we take 2044 away from 2220, we end up with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Let's proceed to step 12:
511 goes into 1760 3 times with a remainder of 227.
The number 3 becomes the next digit in our result. 
Result so far: 60950.9843
Subtract 1533 from 1760 to get 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

Let's proceed to step 13:
511 can be fit into 2270 4 times, resulting in a remainder of 226.
Use 4 as the next digit of our solution. 
Result so far: 60950.98434
Deduct 2044 from 2270 and we're left with 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

On to step 14:
When dividing 2260 by 511, we get 4 with a remainder of 216.
Write down 4 as next digit of the result. 
Result so far: 60950.984344
Subtracting 2044 from 2260 leaves us with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

The final result is 60950.984344 with a remainder of 2.16e-05.