We're dividing 76710297 by 509 
The aim is to understand the frequency of 509 in 76710297.

Advancing to step 1:
The number 509 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 509

Going ahead to step 2:
If we divide 76 by 509, we get 0 and a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Grab the next digit (7) from the dividend, add it to 76, then carry on: 767 / 509

Advancing to step 3:
The number 509 fits into 767 1 times, leaving a remainder of 258.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 258 after subtracting 509 from 767.
Append the next digit (1) from the dividend to 258 and continue with: 2581 / 509

Step 4:
If we divide 2581 by 509, we get 5 and a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtract 2545 from 2581 to get 36.
Include the next digit (0) from the dividend after 36, then repeat: 360 / 509

Going ahead to step 5:
The number 509 fits into 360 0 times, leaving a remainder of 360.
Use 0 as the next digit of our solution. 
Result so far: 150.0
If we subtract 0 from 360, we get 360.
Take the next digit (2) from the dividend and append it to 360, then repeat: 3602 / 509

Step 6:
If we divide 3602 by 509, we get 7 and a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 1507.0
Deduct 3563 from 3602 and we're left with 39.
Take the next digit (9) from the dividend and append it to 39, then repeat: 399 / 509

Let's proceed to step 7:
509 goes into 399 0 times with a remainder of 399.
The next digit of our result is 0. 
Result so far: 15070.0
The remainder is 399 after subtracting 0 from 399.
Fetch the next digit (7) from the dividend, attach it to 399 and continue: 3997 / 509

Going ahead to step 8:
When dividing 3997 by 509, we get 7 with a remainder of 434.
The number 7 becomes the next digit in our result. 
Result so far: 150707.0
Subtract 3563 from 3997 to get 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

Going ahead to step 9:
4340 divided by 509 is 8 with a remainder of 268.
Write down 8 as next digit of the result. 
Result so far: 150707.8
Subtracting 4072 from 4340 leaves us with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Going ahead to step 10:
If we divide 2680 by 509, we get 5 and a remainder of 135.
Record the quotient 5 as the next digit in the result. 
Result so far: 150707.85
Subtract 2545 from 2680 to get 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Let's proceed to step 11:
1350 divided by 509 is 2 with a remainder of 332.
Use 2 as the next digit of our solution. 
Result so far: 150707.852
If we subtract 1018 from 1350, we get 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Moving on to step 12:
509 can be fit into 3320 6 times, resulting in a remainder of 266.
The next digit of our result is 6. 
Result so far: 150707.8526
If we take 3054 away from 3320, we end up with 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

Moving on to step 13:
The number 509 fits into 2660 5 times, leaving a remainder of 115.
The next digit of our result is 5. 
Result so far: 150707.85265
Subtract 2545 from 2660 to get 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Moving on to step 14:
509 can be fit into 1150 2 times, resulting in a remainder of 132.
Use 2 as the next digit of our solution. 
Result so far: 150707.852652
The remainder is 132 after subtracting 1018 from 1150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Let's proceed to step 15:
If we divide 1320 by 509, we get 2 and a remainder of 302.
Use 2 as the next digit of our solution. 
Result so far: 150707.8526522
If we subtract 1018 from 1320, we get 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

The quotient of the division is 150707.8526522, and the remainder is 3.02e-06.