We're dividing 3637338 by 16 
We're looking to find how many times 16 goes into 3637338.

Advancing to step 1:
If we divide 3 by 16, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 16

Going ahead to step 2:
16 goes into 36 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 32 from 36, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 16

Advancing to step 3:
If we divide 43 by 16, we get 2 and a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 32 from 43 and we're left with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 16

On to step 4:
If we divide 117 by 16, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 227.0
Deduct 112 from 117 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 16

Step 5:
16 goes into 53 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2273.0
The remainder is 5 after subtracting 48 from 53.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 16

Moving on to step 6:
16 can be fit into 53 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 22733.0
Subtract 48 from 53 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 16

Moving on to step 7:
16 goes into 58 3 times with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 227333.0
Deduct 48 from 58 and we're left 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.

Moving on to step 8:
16 can be fit into 100 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 227333.6
If we take 96 away from 100, we end up 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.

Going ahead to step 9:
16 goes into 40 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 227333.62
Subtract 32 from 40 to 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.

Advancing to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 227333.625
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 11:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 227333.625
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.

On to 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: 227333.625
Subtracting 0 from 0 leaves us 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 227333.625, with a leftover of 0.0.