78740002 ÷ 513 
The aim is to understand the frequency of 513 in 78740002.

Going ahead to step 1:
The number 513 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 513

Going ahead to step 2:
78 divided by 513 is 0 with a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Take the next digit (7) from the dividend and append it to 78, then repeat: 787 / 513

Step 3:
513 can be fit into 787 1 times, resulting in a remainder of 274.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 513 from 787 leaves us with 274.
Bring next digit (4) of the dividend behind the 274 and repeat the process: 2744 / 513

Going ahead to step 4:
The number 513 fits into 2744 5 times, leaving a remainder of 179.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 2565 away from 2744, we end up with 179.
Bring next digit (0) of the dividend behind the 179 and repeat the process: 1790 / 513

Let's proceed to step 5:
The number 513 fits into 1790 3 times, leaving a remainder of 251.
Put 3 as the next digit of the answer. 
Result so far: 153.0
If we take 1539 away from 1790, we end up with 251.
Fetch the next digit (0) from the dividend, attach it to 251 and continue: 2510 / 513

Let's proceed to step 6:
When dividing 2510 by 513, we get 4 with a remainder of 458.
The next digit of our result is 4. 
Result so far: 1534.0
If we take 2052 away from 2510, we end up with 458.
Append the next digit (0) from the dividend to 458 and continue with: 4580 / 513

Step 7:
The number 513 fits into 4580 8 times, leaving a remainder of 476.
The next digit of our result is 8. 
Result so far: 15348.0
Subtracting 4104 from 4580 leaves us with 476.
Fetch the next digit (2) from the dividend, attach it to 476 and continue: 4762 / 513

Moving on to step 8:
4762 divided by 513 is 9 with a remainder of 145.
The next digit of our result is 9. 
Result so far: 153489.0
Subtracting 4617 from 4762 leaves us with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Advancing to step 9:
513 can be fit into 1450 2 times, resulting in a remainder of 424.
The number 2 becomes the next digit in our result. 
Result so far: 153489.2
If we take 1026 away from 1450, we end up with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Going ahead to step 10:
When dividing 4240 by 513, we get 8 with a remainder of 136.
The next digit of our result is 8. 
Result so far: 153489.28
Subtracting 4104 from 4240 leaves us with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Moving on to step 11:
If we divide 1360 by 513, we get 2 and a remainder of 334.
Put 2 as the next digit of the answer. 
Result so far: 153489.282
Subtract 1026 from 1360 to get 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Moving on to step 12:
3340 divided by 513 is 6 with a remainder of 262.
The number 6 becomes the next digit in our result. 
Result so far: 153489.2826
The remainder is 262 after subtracting 3078 from 3340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

On to step 13:
2620 divided by 513 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 153489.28265
Deduct 2565 from 2620 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 14:
513 goes into 550 1 times with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 153489.282651
Subtract 513 from 550 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 15:
513 goes into 370 0 times with a remainder of 370.
Record the quotient 0 as the next digit in the result. 
Result so far: 153489.282651
Subtracting 0 from 370 leaves us with 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Advancing to step 16:
When dividing 3700 by 513, we get 7 with a remainder of 109.
Use 7 as the next digit of our solution. 
Result so far: 153489.28265107
Subtracting 3591 from 3700 leaves us with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

The final outcome is 153489.28265107, with a leftover of 1.09e-07.