65600614 ÷ 678 
The aim is to understand the frequency of 678 in 65600614.

Step 1:
678 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 678

On to step 2:
678 goes into 65 0 times with a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Fetch the next digit (6) from the dividend, attach it to 65 and continue: 656 / 678

On to step 3:
The number 678 fits into 656 0 times, leaving a remainder of 656.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 656 leaves us with 656.
Grab the next digit (0) from the dividend, add it to 656, then carry on: 6560 / 678

Step 4:
If we divide 6560 by 678, we get 9 and a remainder of 458.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 6102 from 6560 to get 458.
Take the next digit (0) from the dividend and append it to 458, then repeat: 4580 / 678

Step 5:
4580 divided by 678 is 6 with a remainder of 512.
Put 6 as the next digit of the answer. 
Result so far: 96.0
If we take 4068 away from 4580, we end up with 512.
Include the next digit (6) from the dividend after 512, then repeat: 5126 / 678

Let's proceed to step 6:
678 can be fit into 5126 7 times, resulting in a remainder of 380.
Record the quotient 7 as the next digit in the result. 
Result so far: 967.0
Deduct 4746 from 5126 and we're left with 380.
Take the next digit (1) from the dividend and append it to 380, then repeat: 3801 / 678

Going ahead to step 7:
678 goes into 3801 5 times with a remainder of 411.
Record the quotient 5 as the next digit in the result. 
Result so far: 9675.0
Deduct 3390 from 3801 and we're left with 411.
Append the next digit (4) from the dividend to 411 and continue with: 4114 / 678

Let's proceed to step 8:
When dividing 4114 by 678, we get 6 with a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 96756.0
Deduct 4068 from 4114 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 9:
678 goes into 460 0 times with a remainder of 460.
Write down 0 as next digit of the result. 
Result so far: 96756.0
Subtract 0 from 460 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Moving on to step 10:
When dividing 4600 by 678, we get 6 with a remainder of 532.
Record the quotient 6 as the next digit in the result. 
Result so far: 96756.06
Deduct 4068 from 4600 and we're left with 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Step 11:
When dividing 5320 by 678, we get 7 with a remainder of 574.
The next digit of our result is 7. 
Result so far: 96756.067
Deduct 4746 from 5320 and we're left with 574.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

Let's proceed to step 12:
678 can be fit into 5740 8 times, resulting in a remainder of 316.
Write down 8 as next digit of the result. 
Result so far: 96756.0678
Deduct 5424 from 5740 and we're left with 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

On to step 13:
678 goes into 3160 4 times with a remainder of 448.
Record the quotient 4 as the next digit in the result. 
Result so far: 96756.06784
Subtract 2712 from 3160 to get 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Moving on to step 14:
The number 678 fits into 4480 6 times, leaving a remainder of 412.
The next digit of our result is 6. 
Result so far: 96756.067846
Deduct 4068 from 4480 and we're left with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

On to step 15:
4120 divided by 678 is 6 with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 96756.0678466
Subtracting 4068 from 4120 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final result is 96756.0678466 with a remainder of 5.2e-07.