78334703 ÷ 646 
The aim is to understand the frequency of 646 in 78334703.

Step 1:
If we divide 7 by 646, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 646

Going ahead to step 2:
If we divide 78 by 646, we get 0 and a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Include the next digit (3) from the dividend after 78, then repeat: 783 / 646

On to step 3:
The number 646 fits into 783 1 times, leaving a remainder of 137.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 646 from 783, we get 137.
Grab the next digit (3) from the dividend, add it to 137, then carry on: 1373 / 646

Advancing to step 4:
The number 646 fits into 1373 2 times, leaving a remainder of 81.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtracting 1292 from 1373 leaves us with 81.
Bring next digit (4) of the dividend behind the 81 and repeat the process: 814 / 646

Going ahead to step 5:
The number 646 fits into 814 1 times, leaving a remainder of 168.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
Subtracting 646 from 814 leaves us with 168.
Take the next digit (7) from the dividend and append it to 168, then repeat: 1687 / 646

Moving on to step 6:
The number 646 fits into 1687 2 times, leaving a remainder of 395.
The next digit of our result is 2. 
Result so far: 1212.0
If we take 1292 away from 1687, we end up with 395.
Take the next digit (0) from the dividend and append it to 395, then repeat: 3950 / 646

Let's proceed to step 7:
When dividing 3950 by 646, we get 6 with a remainder of 74.
The next digit of our result is 6. 
Result so far: 12126.0
Deduct 3876 from 3950 and we're left with 74.
Bring next digit (3) of the dividend behind the 74 and repeat the process: 743 / 646

Step 8:
If we divide 743 by 646, we get 1 and a remainder of 97.
Record the quotient 1 as the next digit in the result. 
Result so far: 121261.0
Subtracting 646 from 743 leaves us with 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Let's proceed to step 9:
If we divide 970 by 646, we get 1 and a remainder of 324.
Use 1 as the next digit of our solution. 
Result so far: 121261.1
If we subtract 646 from 970, we get 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

On to step 10:
646 goes into 3240 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 121261.15
Subtracting 3230 from 3240 leaves us 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.

Moving on to step 11:
When dividing 100 by 646, we get 0 with a remainder of 100.
Write down 0 as next digit of the result. 
Result so far: 121261.15
Deduct 0 from 100 and we're left with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Advancing to step 12:
If we divide 1000 by 646, we get 1 and a remainder of 354.
Write down 1 as next digit of the result. 
Result so far: 121261.1501
If we take 646 away from 1000, we end up with 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Going ahead to step 13:
If we divide 3540 by 646, we get 5 and a remainder of 310.
Write down 5 as next digit of the result. 
Result so far: 121261.15015
If we subtract 3230 from 3540, we get 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Step 14:
646 can be fit into 3100 4 times, resulting in a remainder of 516.
The number 4 becomes the next digit in our result. 
Result so far: 121261.150154
If we subtract 2584 from 3100, we get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Let's proceed to step 15:
If we divide 5160 by 646, we get 7 and a remainder of 638.
Use 7 as the next digit of our solution. 
Result so far: 121261.1501547
The remainder is 638 after subtracting 4522 from 5160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6380, and continue the process.

Going ahead to step 16:
If we divide 6380 by 646, we get 9 and a remainder of 566.
The next digit of our result is 9. 
Result so far: 121261.15015479
If we subtract 5814 from 6380, we get 566.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

In conclusion, the division gives 121261.15015479 with a balance of 5.66e-07.