533466 divided by 78 
The aim is to understand the frequency of 78 in 533466.

On to step 1:
If we divide 5 by 78, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 78

Moving on to step 2:
When dividing 53 by 78, we get 0 with a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 53 leaves us with 53.
Append the next digit (3) from the dividend to 53 and continue with: 533 / 78

Step 3:
78 can be fit into 533 6 times, resulting in a remainder of 65.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 468 away from 533, we end up with 65.
Grab the next digit (4) from the dividend, add it to 65, then carry on: 654 / 78

Going ahead to step 4:
If we divide 654 by 78, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 68.0
Subtracting 624 from 654 leaves us with 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 78

Let's proceed to step 5:
78 can be fit into 306 3 times, resulting in a remainder of 72.
Use 3 as the next digit of our solution. 
Result so far: 683.0
Subtracting 234 from 306 leaves us with 72.
Fetch the next digit (6) from the dividend, attach it to 72 and continue: 726 / 78

Step 6:
78 can be fit into 726 9 times, resulting in a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 6839.0
Subtracting 702 from 726 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
78 goes into 240 3 times with a remainder of 6.
The next digit of our result is 3. 
Result so far: 6839.3
Subtract 234 from 240 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
78 can be fit into 60 0 times, resulting in a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 6839.3
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
78 can be fit into 600 7 times, resulting in a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 6839.307
If we subtract 546 from 600, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 10:
If we divide 540 by 78, we get 6 and a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 6839.3076
If we subtract 468 from 540, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 11:
78 goes into 720 9 times with a remainder of 18.
The next digit of our result is 9. 
Result so far: 6839.30769
The remainder is 18 after subtracting 702 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
180 divided by 78 is 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 6839.307692
Subtract 156 from 180 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
78 can be fit into 240 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 6839.3076923
The remainder is 6 after subtracting 234 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
The number 78 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 6839.3076923
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 6839.3076923 with a remainder of 6e-08.