We divide 631369 by 16
We're looking to find how many times 16 goes into 631369.

Going ahead to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 16

Going ahead to step 2:
When dividing 63 by 16, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
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

On to step 3:
16 can be fit into 151 9 times, resulting in a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 39.0
The remainder is 7 after subtracting 144 from 151.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 16

Let's proceed to step 4:
73 divided by 16 is 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 394.0
Subtract 64 from 73 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 16

Advancing to step 5:
16 can be fit into 96 6 times, resulting in a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 3946.0
Subtracting 96 from 96 leaves us with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 16

Moving on to step 6:
If we divide 9 by 16, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 39460.0
Subtract 0 from 9 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
90 divided by 16 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 39460.5
If we take 80 away from 90, we end up 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:
100 divided by 16 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 39460.56
Subtracting 96 from 100 leaves us 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.

On to step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 39460.562
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:
If we divide 80 by 16, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 39460.5625
Subtract 80 from 80 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.

Let's proceed to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39460.5625
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.

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: 39460.5625
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 39460.5625, with a leftover of 0.0.