596631 ÷ 16 
The aim is to understand the frequency of 16 in 596631.

Advancing to step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 16

Advancing to step 2:
16 goes into 59 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 48 away from 59, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 16

On to step 3:
The number 16 fits into 116 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 112 from 116 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 16

On to step 4:
The number 16 fits into 46 2 times, leaving a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 372.0
Subtracting 32 from 46 leaves us with 14.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 16

Let's proceed to step 5:
The number 16 fits into 143 8 times, leaving a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 3728.0
If we take 128 away from 143, we end up with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 16

Step 6:
If we divide 151 by 16, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 37289.0
The remainder is 7 after subtracting 144 from 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
16 goes into 70 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 37289.4
Deduct 64 from 70 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
16 goes into 60 3 times with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 37289.43
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 37289.437
Subtracting 112 from 120 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 37289.4375
If we subtract 80 from 80, we 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.

Going ahead to step 11:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 37289.4375
The remainder is 0 after subtracting 0 from 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 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 37289.4375
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.

In conclusion, the division gives 37289.4375 with a balance of 0.0.