We divide 665473 by 16
We're looking to find how many times 16 goes into 665473.

Going ahead to step 1:
6 divided by 16 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 16

Step 2:
If we divide 66 by 16, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 64 from 66 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 16

Going ahead to step 3:
16 can be fit into 25 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 41.0
Deduct 16 from 25 and we're left with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 16

Advancing to step 4:
94 divided by 16 is 5 with a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 415.0
Deduct 80 from 94 and we're left with 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 16

Moving on to step 5:
147 divided by 16 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 4159.0
Subtract 144 from 147 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 16

Advancing to step 6:
If we divide 33 by 16, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 41592.0
Deduct 32 from 33 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
16 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 41592.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
16 can be fit into 100 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 41592.06
Deduct 96 from 100 and we're left 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.

Moving on to step 9:
40 divided by 16 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 41592.062
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.

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: 41592.0625
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 41592.0625
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.

On to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 41592.0625
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 41592.0625, with a leftover of 0.0.