631665 divided by 16 
We're looking to find how many times 16 goes into 631665.

Let's proceed to step 1:
16 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 16

Going ahead to step 2:
63 divided by 16 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 48 from 63, we get 15.
Bring next digit (1) of the dividend behind the 15 and repeat the process: 151 / 16

Moving on to step 3:
When dividing 151 by 16, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
Subtract 144 from 151 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 16

Going ahead to step 4:
16 can be fit into 76 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 394.0
The remainder is 12 after subtracting 64 from 76.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 16

On to step 5:
126 divided by 16 is 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 3947.0
Deduct 112 from 126 and we're left with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 16

Advancing to step 6:
145 divided by 16 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 39479.0
The remainder is 1 after subtracting 144 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 16, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 39479.0
Deduct 0 from 10 and we're left with 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:
When dividing 100 by 16, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 39479.06
If we take 96 away from 100, we end up 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.

Advancing to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 39479.062
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.

Let's proceed to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 39479.0625
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:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 39479.0625
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:
When dividing 0 by 16, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 39479.0625
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.

Our division results in 39479.0625 with a remaining 0.0.