512822 ÷ 78 
The aim is to understand the frequency of 78 in 512822.

Let's proceed to step 1:
78 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 78

On to step 2:
The number 78 fits into 51 0 times, leaving a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (2) from the dividend to 51 and continue with: 512 / 78

Moving on to step 3:
When dividing 512 by 78, we get 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 468 from 512, we get 44.
Append the next digit (8) from the dividend to 44 and continue with: 448 / 78

Advancing to step 4:
78 can be fit into 448 5 times, resulting in a remainder of 58.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we take 390 away from 448, we end up with 58.
Append the next digit (2) from the dividend to 58 and continue with: 582 / 78

Advancing to step 5:
When dividing 582 by 78, we get 7 with a remainder of 36.
Put 7 as the next digit of the answer. 
Result so far: 657.0
The remainder is 36 after subtracting 546 from 582.
Append the next digit (2) from the dividend to 36 and continue with: 362 / 78

Let's proceed to step 6:
78 can be fit into 362 4 times, resulting in a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 6574.0
The remainder is 50 after subtracting 312 from 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 7:
500 divided by 78 is 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 6574.6
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
78 goes into 320 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 6574.64
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
The number 78 fits into 80 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 6574.641
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
When dividing 20 by 78, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 6574.641
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
78 can be fit into 200 2 times, resulting in a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 6574.64102
The remainder is 44 after subtracting 156 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 12:
440 divided by 78 is 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6574.641025
Subtracting 390 from 440 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 13:
When dividing 500 by 78, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 6574.6410256
Deduct 468 from 500 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 14:
When dividing 320 by 78, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 6574.64102564
Deduct 312 from 320 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 6574.64102564, and the remainder is 8e-09.