We're dividing 631561 by 16 
We're looking to find how many times 16 goes into 631561.

On to step 1:
6 divided by 16 is 0 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.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 16

Advancing to step 2:
63 divided by 16 is 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 48 from 63, we get 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 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
Deduct 144 from 151 and we're left with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 16

Moving on to step 4:
16 goes into 75 4 times with a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 394.0
Deduct 64 from 75 and we're left with 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 16

Going ahead to step 5:
16 goes into 116 7 times with a remainder of 4.
The next digit of our result is 7. 
Result so far: 3947.0
If we subtract 112 from 116, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 16

Step 6:
16 goes into 41 2 times with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 39472.0
If we subtract 32 from 41, we 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:
16 goes into 90 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 39472.5
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.

On to step 8:
If we divide 100 by 16, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 39472.56
If we subtract 96 from 100, we get 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:
When dividing 40 by 16, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 39472.562
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
80 divided by 16 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 39472.5625
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.

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: 39472.5625
If we subtract 0 from 0, we 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.

Going ahead to step 12:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 39472.5625
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 39472.5625, with a leftover of 0.0.