We divide 631609 by 16
We're looking to find how many times 16 goes into 631609.

Advancing 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
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 16

Advancing to step 2:
16 can be fit into 63 3 times, resulting in a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 15 after subtracting 48 from 63.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 16

Let's proceed to step 3:
If we divide 151 by 16, we get 9 and a remainder of 7.
The next digit of our result is 9. 
Result so far: 39.0
Subtracting 144 from 151 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 16

Moving on to step 4:
The number 16 fits into 76 4 times, leaving 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.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 16

Step 5:
16 goes into 120 7 times with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 3947.0
Subtracting 112 from 120 leaves us with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 16

Advancing to step 6:
16 can be fit into 89 5 times, resulting in a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 39475.0
Deduct 80 from 89 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 16 fits into 90 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 39475.5
Subtract 80 from 90 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.

Step 8:
16 can be fit into 100 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 39475.56
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:
When dividing 40 by 16, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 39475.562
Deduct 32 from 40 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:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 39475.5625
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:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 39475.5625
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.

Step 12:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 39475.5625
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.

The final outcome is 39475.5625, with a leftover of 0.0.