431579 divided by 16 
We want to figure out the number of times 431579 can be divided by 16.

Let's proceed to step 1:
16 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 16

Going ahead to step 2:
16 goes into 43 2 times with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 32 from 43 and we're left with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 16

Step 3:
The number 16 fits into 111 6 times, leaving a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtracting 96 from 111 leaves us with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 16

Advancing to step 4:
The number 16 fits into 155 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 269.0
Subtract 144 from 155 to get 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 16

Moving on to step 5:
117 divided by 16 is 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 2697.0
Deduct 112 from 117 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 16

Moving on to step 6:
When dividing 59 by 16, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 26973.0
Subtracting 48 from 59 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
When dividing 110 by 16, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 26973.6
The remainder is 14 after subtracting 96 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
The number 16 fits into 140 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 26973.68
If we subtract 128 from 140, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 26973.687
The remainder is 8 after subtracting 112 from 120.
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 goes into 80 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 26973.6875
Subtracting 80 from 80 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.

Moving on to step 11:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 26973.6875
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.

Let's proceed to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 26973.6875
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.

The final result is 26973.6875 with a remainder of 0.0.