We're dividing 590261 by 16 
The aim is to understand the frequency of 16 in 590261.

Moving on to step 1:
If we divide 5 by 16, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 16

Moving on to step 2:
If we divide 59 by 16, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 48 from 59, we get 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 16

Going ahead to step 3:
The number 16 fits into 110 6 times, leaving a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Subtracting 96 from 110 leaves us with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 16

Moving on to step 4:
16 can be fit into 142 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 368.0
If we take 128 away from 142, we end up with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 16

Going ahead to step 5:
16 goes into 146 9 times with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 3689.0
Subtracting 144 from 146 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 16

On to step 6:
When dividing 21 by 16, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 36891.0
Subtracting 16 from 21 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
If we divide 50 by 16, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 36891.3
Subtract 48 from 50 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
16 goes into 20 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 36891.31
Subtracting 16 from 20 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
16 goes into 40 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 36891.312
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 36891.3125
Deduct 80 from 80 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 36891.3125
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 12:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 36891.3125
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 36891.3125 with a remainder of 0.0.