81742691 ÷ 513 
The aim is to understand the frequency of 513 in 81742691.

Moving on to step 1:
513 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 513

Let's proceed to step 2:
If we divide 81 by 513, we get 0 and a remainder of 81.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 81 and we're left with 81.
Include the next digit (7) from the dividend after 81, then repeat: 817 / 513

Let's proceed to step 3:
513 goes into 817 1 times with a remainder of 304.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 513 from 817 leaves us with 304.
Include the next digit (4) from the dividend after 304, then repeat: 3044 / 513

Advancing to step 4:
When dividing 3044 by 513, we get 5 with a remainder of 479.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we take 2565 away from 3044, we end up with 479.
Bring next digit (2) of the dividend behind the 479 and repeat the process: 4792 / 513

Step 5:
4792 divided by 513 is 9 with a remainder of 175.
Use 9 as the next digit of our solution. 
Result so far: 159.0
Subtracting 4617 from 4792 leaves us with 175.
Grab the next digit (6) from the dividend, add it to 175, then carry on: 1756 / 513

Step 6:
513 can be fit into 1756 3 times, resulting in a remainder of 217.
Record the quotient 3 as the next digit in the result. 
Result so far: 1593.0
Subtract 1539 from 1756 to get 217.
Append the next digit (9) from the dividend to 217 and continue with: 2179 / 513

Let's proceed to step 7:
513 goes into 2179 4 times with a remainder of 127.
Write down 4 as next digit of the result. 
Result so far: 15934.0
If we subtract 2052 from 2179, we get 127.
Fetch the next digit (1) from the dividend, attach it to 127 and continue: 1271 / 513

On to step 8:
513 can be fit into 1271 2 times, resulting in a remainder of 245.
Use 2 as the next digit of our solution. 
Result so far: 159342.0
If we subtract 1026 from 1271, we get 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Let's proceed to step 9:
2450 divided by 513 is 4 with a remainder of 398.
The next digit of our result is 4. 
Result so far: 159342.4
Subtracting 2052 from 2450 leaves us with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Moving on to step 10:
3980 divided by 513 is 7 with a remainder of 389.
Record the quotient 7 as the next digit in the result. 
Result so far: 159342.47
If we subtract 3591 from 3980, we get 389.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3890, and continue the process.

Advancing to step 11:
513 goes into 3890 7 times with a remainder of 299.
Put 7 as the next digit of the answer. 
Result so far: 159342.477
The remainder is 299 after subtracting 3591 from 3890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

In conclusion, the division gives 159342.477 with a balance of 0.0299.