We're dividing 637874 by 16 
We want to figure out the number of times 637874 can be divided by 16.

Going ahead to step 1:
16 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 16

Step 2:
If we divide 63 by 16, we get 3 and a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 15 after subtracting 48 from 63.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 16

Advancing to step 3:
If we divide 157 by 16, we get 9 and a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
Subtracting 144 from 157 leaves us with 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 16

Moving on to step 4:
16 goes into 138 8 times with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 398.0
Deduct 128 from 138 and we're left with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 16

Step 5:
If we divide 107 by 16, we get 6 and a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 3986.0
If we take 96 away from 107, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 16

Let's proceed to step 6:
If we divide 114 by 16, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 39867.0
If we subtract 112 from 114, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 16, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 39867.1
If we subtract 16 from 20, 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.

Let's proceed to step 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 39867.12
If we subtract 32 from 40, we get 8.
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 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 39867.125
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.

On to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 39867.125
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 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 39867.125
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.

After the division, we end up with 39867.125 and a remainder of 0.0.