We look at the division of 41677111 by 18 
We want to figure out the number of times 41677111 can be divided by 18.

Advancing to step 1:
18 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 18

Going ahead to step 2:
41 divided by 18 is 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 5 after subtracting 36 from 41.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 18

Let's proceed to step 3:
When dividing 56 by 18, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Subtracting 54 from 56 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 18

Step 4:
When dividing 27 by 18, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 231.0
Deduct 18 from 27 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 18

Advancing to step 5:
If we divide 97 by 18, we get 5 and a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 2315.0
Subtract 90 from 97 to get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 18

Let's proceed to step 6:
If we divide 71 by 18, we get 3 and a remainder of 17.
The next digit of our result is 3. 
Result so far: 23153.0
Subtract 54 from 71 to get 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 18

Going ahead to step 7:
The number 18 fits into 171 9 times, leaving a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 231539.0
Subtracting 162 from 171 leaves us with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 18

On to step 8:
The number 18 fits into 91 5 times, leaving a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 2315395.0
Subtracting 90 from 91 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
18 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 2315395.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
100 divided by 18 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 2315395.05
If we take 90 away from 100, we end up 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.

Let's proceed to step 11:
18 can be fit into 100 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 2315395.055
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 2315395.055, and the remainder is 0.001.