78810970 ÷ 409 
The aim is to understand the frequency of 409 in 78810970.

On to step 1:
409 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 409

On to step 2:
If we divide 78 by 409, we get 0 and a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Include the next digit (8) from the dividend after 78, then repeat: 788 / 409

On to step 3:
409 goes into 788 1 times with a remainder of 379.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 379 after subtracting 409 from 788.
Include the next digit (1) from the dividend after 379, then repeat: 3791 / 409

Advancing to step 4:
When dividing 3791 by 409, we get 9 with a remainder of 110.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Deduct 3681 from 3791 and we're left with 110.
Grab the next digit (0) from the dividend, add it to 110, then carry on: 1100 / 409

Advancing to step 5:
The number 409 fits into 1100 2 times, leaving a remainder of 282.
Write down 2 as next digit of the result. 
Result so far: 192.0
If we take 818 away from 1100, we end up with 282.
Bring next digit (9) of the dividend behind the 282 and repeat the process: 2829 / 409

Let's proceed to step 6:
409 can be fit into 2829 6 times, resulting in a remainder of 375.
Write down 6 as next digit of the result. 
Result so far: 1926.0
Deduct 2454 from 2829 and we're left with 375.
Append the next digit (7) from the dividend to 375 and continue with: 3757 / 409

Step 7:
The number 409 fits into 3757 9 times, leaving a remainder of 76.
Use 9 as the next digit of our solution. 
Result so far: 19269.0
Subtracting 3681 from 3757 leaves us with 76.
Append the next digit (0) from the dividend to 76 and continue with: 760 / 409

Going ahead to step 8:
409 can be fit into 760 1 times, resulting in a remainder of 351.
Put 1 as the next digit of the answer. 
Result so far: 192691.0
Subtract 409 from 760 to get 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

Step 9:
3510 divided by 409 is 8 with a remainder of 238.
Write down 8 as next digit of the result. 
Result so far: 192691.8
Subtract 3272 from 3510 to get 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

On to step 10:
2380 divided by 409 is 5 with a remainder of 335.
The next digit of our result is 5. 
Result so far: 192691.85
The remainder is 335 after subtracting 2045 from 2380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3350, and continue the process.

Let's proceed to step 11:
409 goes into 3350 8 times with a remainder of 78.
Use 8 as the next digit of our solution. 
Result so far: 192691.858
If we subtract 3272 from 3350, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 12:
If we divide 780 by 409, we get 1 and a remainder of 371.
The number 1 becomes the next digit in our result. 
Result so far: 192691.8581
If we take 409 away from 780, we end up with 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3710, and continue the process.

Let's proceed to step 13:
If we divide 3710 by 409, we get 9 and a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 192691.85819
Subtract 3681 from 3710 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 14:
409 goes into 290 0 times with a remainder of 290.
The next digit of our result is 0. 
Result so far: 192691.85819
The remainder is 290 after subtracting 0 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Advancing to step 15:
If we divide 2900 by 409, we get 7 and a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 192691.8581907
The remainder is 37 after subtracting 2863 from 2900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 16:
370 divided by 409 is 0 with a remainder of 370.
Put 0 as the next digit of the answer. 
Result so far: 192691.8581907
Deduct 0 from 370 and we're left with 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

After the division, we end up with 192691.8581907 and a remainder of 3.7e-07.