We look at the division of 586743 by 16 
Let's see how many times 16 fits into 586743.

Step 1:
If we divide 5 by 16, we get 0 and 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

On to step 2:
58 divided by 16 is 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 48 from 58 and we're left with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 16

Step 3:
When dividing 106 by 16, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we subtract 96 from 106, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 16

Advancing to step 4:
The number 16 fits into 107 6 times, leaving a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 366.0
Subtracting 96 from 107 leaves us with 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 16

Advancing to step 5:
When dividing 114 by 16, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 3667.0
Subtracting 112 from 114 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 16

Moving on to step 6:
The number 16 fits into 23 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 36671.0
Subtract 16 from 23 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
16 goes into 70 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 36671.4
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.

On to step 8:
60 divided by 16 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 36671.43
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.

Moving on to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 36671.437
Deduct 112 from 120 and we're left 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.

Step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 36671.4375
If we take 80 away from 80, we end up 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:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 36671.4375
Deduct 0 from 0 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.

Moving on to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 36671.4375
If we take 0 away from 0, we end up 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 outcome is 36671.4375, with a leftover of 0.0.