310816 divided by 90 
The aim is to understand the frequency of 90 in 310816.

Advancing to step 1:
When dividing 3 by 90, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 90

Moving on to step 2:
90 can be fit into 31 0 times, resulting in a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 90

Let's proceed to step 3:
The number 90 fits into 310 3 times, leaving a remainder of 40.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 40 after subtracting 270 from 310.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 90

Moving on to step 4:
90 can be fit into 408 4 times, resulting in a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Subtract 360 from 408 to get 48.
Fetch the next digit (1) from the dividend, attach it to 48 and continue: 481 / 90

Step 5:
If we divide 481 by 90, we get 5 and a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 345.0
If we subtract 450 from 481, we get 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 90

On to step 6:
316 divided by 90 is 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 3453.0
Deduct 270 from 316 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
90 goes into 460 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 3453.5
If we take 450 away from 460, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 3453.51
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
100 divided by 90 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 3453.511
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 3453.511, and the remainder is 0.001.