417949 ÷ 78 
The aim is to understand the frequency of 78 in 417949.

On to step 1:
When dividing 4 by 78, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 78

Going ahead to step 2:
78 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 78

Moving on to step 3:
If we divide 417 by 78, we get 5 and a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 390 from 417 and we're left with 27.
Append the next digit (9) from the dividend to 27 and continue with: 279 / 78

On to step 4:
78 can be fit into 279 3 times, resulting in a remainder of 45.
Write down 3 as next digit of the result. 
Result so far: 53.0
Subtracting 234 from 279 leaves us with 45.
Fetch the next digit (4) from the dividend, attach it to 45 and continue: 454 / 78

Going ahead to step 5:
454 divided by 78 is 5 with a remainder of 64.
Put 5 as the next digit of the answer. 
Result so far: 535.0
If we subtract 390 from 454, we get 64.
Grab the next digit (9) from the dividend, add it to 64, then carry on: 649 / 78

Going ahead to step 6:
78 goes into 649 8 times with a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 5358.0
Deduct 624 from 649 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
The number 78 fits into 250 3 times, leaving a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 5358.3
Subtracting 234 from 250 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
78 goes into 160 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 5358.32
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
The number 78 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 5358.32
Deduct 0 from 40 and we're left 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.

Moving on to step 10:
The number 78 fits into 400 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5358.3205
If we subtract 390 from 400, we 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.

Step 11:
When dividing 100 by 78, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 5358.32051
Subtract 78 from 100 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
78 can be fit into 220 2 times, resulting in a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 5358.320512
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.

Let's proceed to step 13:
640 divided by 78 is 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 5358.3205128
Deduct 624 from 640 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
If we divide 160 by 78, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 5358.32051282
Deduct 156 from 160 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.

After the division, we end up with 5358.32051282 and a remainder of 4e-09.