227634 ÷ 16 
We're looking to find how many times 16 goes into 227634.

Advancing to step 1:
16 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 16

Advancing to step 2:
16 can be fit into 22 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 16 from 22 to get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 16

Step 3:
When dividing 67 by 16, we get 4 with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Deduct 64 from 67 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 16

Let's proceed to step 4:
16 goes into 36 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 142.0
If we take 32 away from 36, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 16

Moving on to step 5:
When dividing 43 by 16, we get 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 1422.0
Subtract 32 from 43 to get 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 16

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: 14227.0
Subtract 112 from 114 to 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:
20 divided by 16 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 14227.1
If we take 16 away from 20, 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.

Step 8:
If we divide 40 by 16, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 14227.12
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.

Going ahead to step 9:
If we divide 80 by 16, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 14227.125
If we subtract 80 from 80, 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.

Step 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 14227.125
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.

Moving on to step 11:
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: 14227.125
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.

The final result is 14227.125 with a remainder of 0.0.