77115970 ÷ 531 
The aim is to understand the frequency of 531 in 77115970.

On to step 1:
The number 531 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 531

Step 2:
531 goes into 77 0 times with a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Fetch the next digit (1) from the dividend, attach it to 77 and continue: 771 / 531

Going ahead to step 3:
771 divided by 531 is 1 with a remainder of 240.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 531 from 771, we get 240.
Take the next digit (1) from the dividend and append it to 240, then repeat: 2401 / 531

Advancing to step 4:
531 goes into 2401 4 times with a remainder of 277.
The next digit of our result is 4. 
Result so far: 14.0
If we subtract 2124 from 2401, we get 277.
Take the next digit (5) from the dividend and append it to 277, then repeat: 2775 / 531

Going ahead to step 5:
If we divide 2775 by 531, we get 5 and a remainder of 120.
Put 5 as the next digit of the answer. 
Result so far: 145.0
If we subtract 2655 from 2775, we get 120.
Bring next digit (9) of the dividend behind the 120 and repeat the process: 1209 / 531

On to step 6:
531 can be fit into 1209 2 times, resulting in a remainder of 147.
The number 2 becomes the next digit in our result. 
Result so far: 1452.0
The remainder is 147 after subtracting 1062 from 1209.
Include the next digit (7) from the dividend after 147, then repeat: 1477 / 531

Going ahead to step 7:
1477 divided by 531 is 2 with a remainder of 415.
Record the quotient 2 as the next digit in the result. 
Result so far: 14522.0
Deduct 1062 from 1477 and we're left with 415.
Fetch the next digit (0) from the dividend, attach it to 415 and continue: 4150 / 531

Advancing to step 8:
If we divide 4150 by 531, we get 7 and a remainder of 433.
Write down 7 as next digit of the result. 
Result so far: 145227.0
Subtract 3717 from 4150 to get 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

Let's proceed to step 9:
When dividing 4330 by 531, we get 8 with a remainder of 82.
Put 8 as the next digit of the answer. 
Result so far: 145227.8
Deduct 4248 from 4330 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 10:
If we divide 820 by 531, we get 1 and a remainder of 289.
Record the quotient 1 as the next digit in the result. 
Result so far: 145227.81
The remainder is 289 after subtracting 531 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

Moving on to step 11:
531 can be fit into 2890 5 times, resulting in a remainder of 235.
The number 5 becomes the next digit in our result. 
Result so far: 145227.815
If we subtract 2655 from 2890, we get 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

On to step 12:
531 can be fit into 2350 4 times, resulting in a remainder of 226.
The number 4 becomes the next digit in our result. 
Result so far: 145227.8154
Subtract 2124 from 2350 to get 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Moving on to step 13:
When dividing 2260 by 531, we get 4 with a remainder of 136.
Record the quotient 4 as the next digit in the result. 
Result so far: 145227.81544
Subtracting 2124 from 2260 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.

After the division, we end up with 145227.81544 and a remainder of 0.000136.