77822810 ÷ 407 
The aim is to understand the frequency of 407 in 77822810.

Advancing to step 1:
When dividing 7 by 407, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 407

Advancing to step 2:
77 divided by 407 is 0 with a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Take the next digit (8) from the dividend and append it to 77, then repeat: 778 / 407

Let's proceed to step 3:
If we divide 778 by 407, we get 1 and a remainder of 371.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 407 from 778 leaves us with 371.
Append the next digit (2) from the dividend to 371 and continue with: 3712 / 407

On to step 4:
407 goes into 3712 9 times with a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we take 3663 away from 3712, we end up with 49.
Bring next digit (2) of the dividend behind the 49 and repeat the process: 492 / 407

Moving on to step 5:
The number 407 fits into 492 1 times, leaving a remainder of 85.
Use 1 as the next digit of our solution. 
Result so far: 191.0
The remainder is 85 after subtracting 407 from 492.
Grab the next digit (8) from the dividend, add it to 85, then carry on: 858 / 407

Step 6:
When dividing 858 by 407, we get 2 with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 1912.0
If we take 814 away from 858, we end up with 44.
Grab the next digit (1) from the dividend, add it to 44, then carry on: 441 / 407

On to step 7:
441 divided by 407 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 19121.0
If we subtract 407 from 441, we get 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 407

Advancing to step 8:
340 divided by 407 is 0 with a remainder of 340.
Write down 0 as next digit of the result. 
Result so far: 191210.0
Subtracting 0 from 340 leaves us with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Going ahead to step 9:
407 can be fit into 3400 8 times, resulting in a remainder of 144.
Put 8 as the next digit of the answer. 
Result so far: 191210.8
The remainder is 144 after subtracting 3256 from 3400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Moving on to step 10:
The number 407 fits into 1440 3 times, leaving a remainder of 219.
Use 3 as the next digit of our solution. 
Result so far: 191210.83
Subtracting 1221 from 1440 leaves us with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

Step 11:
2190 divided by 407 is 5 with a remainder of 155.
Put 5 as the next digit of the answer. 
Result so far: 191210.835
The remainder is 155 after subtracting 2035 from 2190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Going ahead to step 12:
The number 407 fits into 1550 3 times, leaving a remainder of 329.
Put 3 as the next digit of the answer. 
Result so far: 191210.8353
If we take 1221 away from 1550, we end up with 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

On to step 13:
The number 407 fits into 3290 8 times, leaving a remainder of 34.
The next digit of our result is 8. 
Result so far: 191210.83538
The remainder is 34 after subtracting 3256 from 3290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 14:
340 divided by 407 is 0 with a remainder of 340.
The number 0 becomes the next digit in our result. 
Result so far: 191210.83538
If we subtract 0 from 340, we get 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Moving on to step 15:
3400 divided by 407 is 8 with a remainder of 144.
The next digit of our result is 8. 
Result so far: 191210.8353808
If we subtract 3256 from 3400, we get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Going ahead to step 16:
The number 407 fits into 1440 3 times, leaving a remainder of 219.
Use 3 as the next digit of our solution. 
Result so far: 191210.83538083
Deduct 1221 from 1440 and we're left with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

In conclusion, the division gives 191210.83538083 with a balance of 2.19e-07.