12819405 divided by 406 
The aim is to understand the frequency of 406 in 12819405.

Step 1:
406 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 406

Advancing to step 2:
If we divide 12 by 406, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 406

Let's proceed to step 3:
128 divided by 406 is 0 with a remainder of 128.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 128 after subtracting 0 from 128.
Fetch the next digit (1) from the dividend, attach it to 128 and continue: 1281 / 406

Step 4:
When dividing 1281 by 406, we get 3 with a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 1218 from 1281 leaves us with 63.
Take the next digit (9) from the dividend and append it to 63, then repeat: 639 / 406

Advancing to step 5:
406 goes into 639 1 times with a remainder of 233.
Use 1 as the next digit of our solution. 
Result so far: 31.0
If we take 406 away from 639, we end up with 233.
Grab the next digit (4) from the dividend, add it to 233, then carry on: 2334 / 406

Advancing to step 6:
The number 406 fits into 2334 5 times, leaving a remainder of 304.
Write down 5 as next digit of the result. 
Result so far: 315.0
If we take 2030 away from 2334, we end up with 304.
Append the next digit (0) from the dividend to 304 and continue with: 3040 / 406

Moving on to step 7:
3040 divided by 406 is 7 with a remainder of 198.
The number 7 becomes the next digit in our result. 
Result so far: 3157.0
If we subtract 2842 from 3040, we get 198.
Fetch the next digit (5) from the dividend, attach it to 198 and continue: 1985 / 406

Advancing to step 8:
1985 divided by 406 is 4 with a remainder of 361.
Record the quotient 4 as the next digit in the result. 
Result so far: 31574.0
Subtract 1624 from 1985 to get 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3610, and continue the process.

On to step 9:
If we divide 3610 by 406, we get 8 and a remainder of 362.
The number 8 becomes the next digit in our result. 
Result so far: 31574.8
Deduct 3248 from 3610 and we're left with 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Step 10:
406 goes into 3620 8 times with a remainder of 372.
Put 8 as the next digit of the answer. 
Result so far: 31574.88
Subtracting 3248 from 3620 leaves us with 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

In conclusion, the division gives 31574.88 with a balance of 0.372.