We look at the division of 41133558 by 618 
We're looking to find how many times 618 goes into 41133558.

Going ahead to step 1:
If we divide 4 by 618, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 618

On to step 2:
The number 618 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (1) from the dividend and append it to 41, then repeat: 411 / 618

On to step 3:
When dividing 411 by 618, we get 0 with a remainder of 411.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 411, we end up with 411.
Fetch the next digit (3) from the dividend, attach it to 411 and continue: 4113 / 618

Moving on to step 4:
The number 618 fits into 4113 6 times, leaving a remainder of 405.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 405 after subtracting 3708 from 4113.
Bring next digit (3) of the dividend behind the 405 and repeat the process: 4053 / 618

Step 5:
618 can be fit into 4053 6 times, resulting in a remainder of 345.
Put 6 as the next digit of the answer. 
Result so far: 66.0
The remainder is 345 after subtracting 3708 from 4053.
Append the next digit (5) from the dividend to 345 and continue with: 3455 / 618

Step 6:
The number 618 fits into 3455 5 times, leaving a remainder of 365.
Put 5 as the next digit of the answer. 
Result so far: 665.0
The remainder is 365 after subtracting 3090 from 3455.
Grab the next digit (5) from the dividend, add it to 365, then carry on: 3655 / 618

Moving on to step 7:
The number 618 fits into 3655 5 times, leaving a remainder of 565.
Put 5 as the next digit of the answer. 
Result so far: 6655.0
Deduct 3090 from 3655 and we're left with 565.
Bring next digit (8) of the dividend behind the 565 and repeat the process: 5658 / 618

Going ahead to step 8:
618 can be fit into 5658 9 times, resulting in a remainder of 96.
The next digit of our result is 9. 
Result so far: 66559.0
Subtract 5562 from 5658 to get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 9:
618 goes into 960 1 times with a remainder of 342.
Put 1 as the next digit of the answer. 
Result so far: 66559.1
Subtracting 618 from 960 leaves us with 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Going ahead to step 10:
618 goes into 3420 5 times with a remainder of 330.
The next digit of our result is 5. 
Result so far: 66559.15
Subtract 3090 from 3420 to get 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Going ahead to step 11:
618 can be fit into 3300 5 times, resulting in a remainder of 210.
Use 5 as the next digit of our solution. 
Result so far: 66559.155
Deduct 3090 from 3300 and we're left with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

The final result is 66559.155 with a remainder of 0.021.