580837 ÷ 16 
We're looking to find how many times 16 goes into 580837.

On to step 1:
16 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 16

Advancing to step 2:
16 can be fit into 58 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 48 from 58, we get 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 16

Let's proceed to step 3:
16 goes into 100 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
Deduct 96 from 100 and we're left with 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 16

On to step 4:
48 divided by 16 is 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 363.0
Subtracting 48 from 48 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 16

Let's proceed to step 5:
16 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 3630.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 16

Step 6:
The number 16 fits into 37 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 36302.0
Subtract 32 from 37 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
16 can be fit into 50 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 36302.3
If we subtract 48 from 50, we 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.

Going ahead to step 8:
If we divide 20 by 16, we get 1 and a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 36302.31
The remainder is 4 after subtracting 16 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 36302.312
Subtracting 32 from 40 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.

Moving on to step 10:
80 divided by 16 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 36302.3125
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.

Let's proceed to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 36302.3125
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.

Step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36302.3125
If we subtract 0 from 0, 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.

The quotient of the division is 36302.3125, and the remainder is 0.0.