689368 ÷ 78 
The aim is to understand the frequency of 78 in 689368.

Moving on to step 1:
78 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 78

On to step 2:
78 goes into 68 0 times with a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 68 and we're left with 68.
Fetch the next digit (9) from the dividend, attach it to 68 and continue: 689 / 78

Going ahead to step 3:
78 can be fit into 689 8 times, resulting in a remainder of 65.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 624 from 689, we get 65.
Include the next digit (3) from the dividend after 65, then repeat: 653 / 78

Moving on to step 4:
653 divided by 78 is 8 with a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 88.0
Subtract 624 from 653 to get 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 78

Advancing to step 5:
78 goes into 296 3 times with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 883.0
The remainder is 62 after subtracting 234 from 296.
Fetch the next digit (8) from the dividend, attach it to 62 and continue: 628 / 78

Let's proceed to step 6:
If we divide 628 by 78, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 8838.0
Deduct 624 from 628 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
78 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8838.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
If we divide 400 by 78, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 8838.05
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
78 goes into 100 1 times with a remainder of 22.
The next digit of our result is 1. 
Result so far: 8838.051
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
220 divided by 78 is 2 with a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 8838.0512
Subtracting 156 from 220 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
The number 78 fits into 640 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 8838.05128
If we subtract 624 from 640, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 12:
78 can be fit into 160 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 8838.051282
If we take 156 away from 160, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
78 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8838.051282
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
78 can be fit into 400 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 8838.05128205
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 8838.05128205 with a remainder of 1e-08.