637956 ÷ 16 
We want to divide 637956 by 16.

Advancing to step 1:
The number 16 fits into 6 0 times, leaving 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.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 16

On 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 take 48 away from 63, we end up with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 16

Let's proceed to step 3:
When dividing 157 by 16, we get 9 with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
If we subtract 144 from 157, we get 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 16

On to step 4:
16 goes into 139 8 times with a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 398.0
Subtracting 128 from 139 leaves us with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 16

Going ahead to step 5:
The number 16 fits into 115 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 3987.0
The remainder is 3 after subtracting 112 from 115.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 16

On to step 6:
When dividing 36 by 16, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 39872.0
Deduct 32 from 36 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.

On to step 7:
When dividing 40 by 16, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 39872.2
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 8:
When dividing 80 by 16, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 39872.25
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 9:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 39872.25
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 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39872.25
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 quotient of the division is 39872.25, and the remainder is 0.0.