40133381 ÷ 513 
The aim is to understand the frequency of 513 in 40133381.

Step 1:
513 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 513

Step 2:
If we divide 40 by 513, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 513

Advancing to step 3:
If we divide 401 by 513, we get 0 and a remainder of 401.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 401, we end up with 401.
Append the next digit (3) from the dividend to 401 and continue with: 4013 / 513

Going ahead to step 4:
513 can be fit into 4013 7 times, resulting in a remainder of 422.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 3591 from 4013 and we're left with 422.
Grab the next digit (3) from the dividend, add it to 422, then carry on: 4223 / 513

Going ahead to step 5:
4223 divided by 513 is 8 with a remainder of 119.
The next digit of our result is 8. 
Result so far: 78.0
Subtract 4104 from 4223 to get 119.
Bring next digit (3) of the dividend behind the 119 and repeat the process: 1193 / 513

Step 6:
513 can be fit into 1193 2 times, resulting in a remainder of 167.
Record the quotient 2 as the next digit in the result. 
Result so far: 782.0
If we take 1026 away from 1193, we end up with 167.
Append the next digit (8) from the dividend to 167 and continue with: 1678 / 513

Advancing to step 7:
513 goes into 1678 3 times with a remainder of 139.
Use 3 as the next digit of our solution. 
Result so far: 7823.0
The remainder is 139 after subtracting 1539 from 1678.
Grab the next digit (1) from the dividend, add it to 139, then carry on: 1391 / 513

Advancing to step 8:
The number 513 fits into 1391 2 times, leaving a remainder of 365.
Record the quotient 2 as the next digit in the result. 
Result so far: 78232.0
Subtract 1026 from 1391 to get 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

Let's proceed to step 9:
513 goes into 3650 7 times with a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 78232.7
Subtracting 3591 from 3650 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 10:
When dividing 590 by 513, we get 1 with a remainder of 77.
The number 1 becomes the next digit in our result. 
Result so far: 78232.71
Subtract 513 from 590 to 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 11:
513 can be fit into 770 1 times, resulting in a remainder of 257.
Put 1 as the next digit of the answer. 
Result so far: 78232.711
Subtract 513 from 770 to get 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

After the division, we end up with 78232.711 and a remainder of 0.0257.