85579709 ÷ 511 
The aim is to understand the frequency of 511 in 85579709.

On to step 1:
511 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 511

Advancing to step 2:
If we divide 85 by 511, we get 0 and a remainder of 85.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 85 to get 85.
Fetch the next digit (5) from the dividend, attach it to 85 and continue: 855 / 511

Advancing to step 3:
511 goes into 855 1 times with a remainder of 344.
The next digit of our result is 1. 
Result so far: 1.0
If we take 511 away from 855, we end up with 344.
Fetch the next digit (7) from the dividend, attach it to 344 and continue: 3447 / 511

Step 4:
The number 511 fits into 3447 6 times, leaving a remainder of 381.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we take 3066 away from 3447, we end up with 381.
Bring next digit (9) of the dividend behind the 381 and repeat the process: 3819 / 511

Advancing to step 5:
511 goes into 3819 7 times with a remainder of 242.
The number 7 becomes the next digit in our result. 
Result so far: 167.0
Subtract 3577 from 3819 to get 242.
Grab the next digit (7) from the dividend, add it to 242, then carry on: 2427 / 511

Moving on to step 6:
The number 511 fits into 2427 4 times, leaving a remainder of 383.
Use 4 as the next digit of our solution. 
Result so far: 1674.0
Deduct 2044 from 2427 and we're left with 383.
Take the next digit (0) from the dividend and append it to 383, then repeat: 3830 / 511

On to step 7:
3830 divided by 511 is 7 with a remainder of 253.
Write down 7 as next digit of the result. 
Result so far: 16747.0
If we take 3577 away from 3830, we end up with 253.
Include the next digit (9) from the dividend after 253, then repeat: 2539 / 511

Going ahead to step 8:
511 can be fit into 2539 4 times, resulting in a remainder of 495.
Record the quotient 4 as the next digit in the result. 
Result so far: 167474.0
Subtracting 2044 from 2539 leaves us with 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Moving on to step 9:
When dividing 4950 by 511, we get 9 with a remainder of 351.
Record the quotient 9 as the next digit in the result. 
Result so far: 167474.9
Subtracting 4599 from 4950 leaves us with 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

Moving on to step 10:
If we divide 3510 by 511, we get 6 and a remainder of 444.
Record the quotient 6 as the next digit in the result. 
Result so far: 167474.96
The remainder is 444 after subtracting 3066 from 3510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Moving on to step 11:
4440 divided by 511 is 8 with a remainder of 352.
Use 8 as the next digit of our solution. 
Result so far: 167474.968
If we take 4088 away from 4440, we end up with 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Let's proceed to step 12:
511 can be fit into 3520 6 times, resulting in a remainder of 454.
Write down 6 as next digit of the result. 
Result so far: 167474.9686
Deduct 3066 from 3520 and we're left with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Going ahead to step 13:
511 goes into 4540 8 times with a remainder of 452.
Record the quotient 8 as the next digit in the result. 
Result so far: 167474.96868
Deduct 4088 from 4540 and we're left with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Going ahead to step 14:
If we divide 4520 by 511, we get 8 and a remainder of 432.
Put 8 as the next digit of the answer. 
Result so far: 167474.968688
Subtract 4088 from 4520 to get 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

The quotient of the division is 167474.968688, and the remainder is 4.32e-05.