We're dividing 41677177 by 218 
We want to divide 41677177 by 218.

On to step 1:
The number 218 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 218

Step 2:
218 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Grab the next digit (6) from the dividend, add it to 41, then carry on: 416 / 218

Going ahead to step 3:
When dividing 416 by 218, we get 1 with a remainder of 198.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 198 after subtracting 218 from 416.
Take the next digit (7) from the dividend and append it to 198, then repeat: 1987 / 218

On to step 4:
1987 divided by 218 is 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we subtract 1962 from 1987, we get 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 218

Going ahead to step 5:
If we divide 257 by 218, we get 1 and a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 191.0
Subtracting 218 from 257 leaves us with 39.
Take the next digit (1) from the dividend and append it to 39, then repeat: 391 / 218

Step 6:
The number 218 fits into 391 1 times, leaving a remainder of 173.
Use 1 as the next digit of our solution. 
Result so far: 1911.0
The remainder is 173 after subtracting 218 from 391.
Include the next digit (7) from the dividend after 173, then repeat: 1737 / 218

Let's proceed to step 7:
218 can be fit into 1737 7 times, resulting in a remainder of 211.
The next digit of our result is 7. 
Result so far: 19117.0
Subtract 1526 from 1737 to get 211.
Grab the next digit (7) from the dividend, add it to 211, then carry on: 2117 / 218

Let's proceed to step 8:
If we divide 2117 by 218, we get 9 and a remainder of 155.
Put 9 as the next digit of the answer. 
Result so far: 191179.0
Subtracting 1962 from 2117 leaves us with 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Moving on to step 9:
218 can be fit into 1550 7 times, resulting in a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 191179.7
Subtracting 1526 from 1550 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
When dividing 240 by 218, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 191179.71
Deduct 218 from 240 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
If we divide 220 by 218, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 191179.711
If we subtract 218 from 220, we 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.

The final result is 191179.711 with a remainder of 0.0002.