77108335 divided by 406 
The aim is to understand the frequency of 406 in 77108335.

Let's proceed to step 1:
The number 406 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 406

Moving on to step 2:
If we divide 77 by 406, we get 0 and a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Append the next digit (1) from the dividend to 77 and continue with: 771 / 406

On to step 3:
406 can be fit into 771 1 times, resulting in a remainder of 365.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 406 from 771 leaves us with 365.
Grab the next digit (0) from the dividend, add it to 365, then carry on: 3650 / 406

Going ahead to step 4:
406 can be fit into 3650 8 times, resulting in a remainder of 402.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
If we subtract 3248 from 3650, we get 402.
Append the next digit (8) from the dividend to 402 and continue with: 4028 / 406

On to step 5:
The number 406 fits into 4028 9 times, leaving a remainder of 374.
Put 9 as the next digit of the answer. 
Result so far: 189.0
The remainder is 374 after subtracting 3654 from 4028.
Append the next digit (3) from the dividend to 374 and continue with: 3743 / 406

On to step 6:
When dividing 3743 by 406, we get 9 with a remainder of 89.
Record the quotient 9 as the next digit in the result. 
Result so far: 1899.0
If we take 3654 away from 3743, we end up with 89.
Grab the next digit (3) from the dividend, add it to 89, then carry on: 893 / 406

Moving on to step 7:
When dividing 893 by 406, we get 2 with a remainder of 81.
Write down 2 as next digit of the result. 
Result so far: 18992.0
Subtracting 812 from 893 leaves us with 81.
Bring next digit (5) of the dividend behind the 81 and repeat the process: 815 / 406

Advancing to step 8:
406 can be fit into 815 2 times, resulting in a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 189922.0
Subtract 812 from 815 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
406 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 189922.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
The number 406 fits into 300 0 times, leaving a remainder of 300.
Record the quotient 0 as the next digit in the result. 
Result so far: 189922.0
Deduct 0 from 300 and we're left with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

The quotient of the division is 189922.0, and the remainder is 0.3.