78198206 divided by 417 
The aim is to understand the frequency of 417 in 78198206.

Step 1:
417 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 417

Step 2:
The number 417 fits into 78 0 times, leaving a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Append the next digit (1) from the dividend to 78 and continue with: 781 / 417

On to step 3:
781 divided by 417 is 1 with a remainder of 364.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 417 from 781 and we're left with 364.
Include the next digit (9) from the dividend after 364, then repeat: 3649 / 417

Advancing to step 4:
417 can be fit into 3649 8 times, resulting in a remainder of 313.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
The remainder is 313 after subtracting 3336 from 3649.
Include the next digit (8) from the dividend after 313, then repeat: 3138 / 417

Step 5:
When dividing 3138 by 417, we get 7 with a remainder of 219.
The number 7 becomes the next digit in our result. 
Result so far: 187.0
If we take 2919 away from 3138, we end up with 219.
Take the next digit (2) from the dividend and append it to 219, then repeat: 2192 / 417

Moving on to step 6:
2192 divided by 417 is 5 with a remainder of 107.
Put 5 as the next digit of the answer. 
Result so far: 1875.0
Subtracting 2085 from 2192 leaves us with 107.
Append the next digit (0) from the dividend to 107 and continue with: 1070 / 417

Advancing to step 7:
The number 417 fits into 1070 2 times, leaving a remainder of 236.
Write down 2 as next digit of the result. 
Result so far: 18752.0
If we subtract 834 from 1070, we get 236.
Fetch the next digit (6) from the dividend, attach it to 236 and continue: 2366 / 417

Let's proceed to step 8:
The number 417 fits into 2366 5 times, leaving a remainder of 281.
The next digit of our result is 5. 
Result so far: 187525.0
Subtract 2085 from 2366 to get 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Moving on to step 9:
The number 417 fits into 2810 6 times, leaving a remainder of 308.
Put 6 as the next digit of the answer. 
Result so far: 187525.6
Subtracting 2502 from 2810 leaves us with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Moving on to step 10:
If we divide 3080 by 417, we get 7 and a remainder of 161.
Put 7 as the next digit of the answer. 
Result so far: 187525.67
Deduct 2919 from 3080 and we're left with 161.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1610, and continue the process.

Advancing to step 11:
If we divide 1610 by 417, we get 3 and a remainder of 359.
Record the quotient 3 as the next digit in the result. 
Result so far: 187525.673
Subtract 1251 from 1610 to get 359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3590, and continue the process.

Going ahead to step 12:
417 goes into 3590 8 times with a remainder of 254.
The number 8 becomes the next digit in our result. 
Result so far: 187525.6738
The remainder is 254 after subtracting 3336 from 3590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

On to step 13:
If we divide 2540 by 417, we get 6 and a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 187525.67386
Subtracting 2502 from 2540 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 14:
380 divided by 417 is 0 with a remainder of 380.
The number 0 becomes the next digit in our result. 
Result so far: 187525.67386
Deduct 0 from 380 and we're left with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Moving on to step 15:
If we divide 3800 by 417, we get 9 and a remainder of 47.
The next digit of our result is 9. 
Result so far: 187525.6738609
If we take 3753 away from 3800, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 16:
417 can be fit into 470 1 times, resulting in a remainder of 53.
The next digit of our result is 1. 
Result so far: 187525.67386091
If we take 417 away from 470, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

In conclusion, the division gives 187525.67386091 with a balance of 5.3e-08.