We're dividing 35677112 by 16 
We're looking to find how many times 16 goes into 35677112.

On to step 1:
16 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 16

Moving on to step 2:
35 divided by 16 is 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 32 from 35, we get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 16

On to step 3:
36 divided by 16 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 22.0
The remainder is 4 after subtracting 32 from 36.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 16

Advancing to step 4:
16 goes into 47 2 times with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 222.0
Subtracting 32 from 47 leaves us with 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 16

Moving on to step 5:
157 divided by 16 is 9 with a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 2229.0
Deduct 144 from 157 and we're left with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 16

Step 6:
When dividing 131 by 16, we get 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 22298.0
Deduct 128 from 131 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 16

Advancing to step 7:
The number 16 fits into 31 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 222981.0
The remainder is 15 after subtracting 16 from 31.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 16

Let's proceed to step 8:
When dividing 152 by 16, we get 9 with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 2229819.0
Deduct 144 from 152 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.

On to step 9:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 2229819.5
Subtracting 80 from 80 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.

Advancing to step 10:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 2229819.5
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.

On to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2229819.5
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.

Our division results in 2229819.5 with a remaining 0.0.