We look at the division of 313186 by 41 
We want to figure out the number of times 313186 can be divided by 41.

Going ahead to step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 41

Let's proceed to step 2:
41 goes into 31 0 times with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Include the next digit (3) from the dividend after 31, then repeat: 313 / 41

Advancing to step 3:
41 can be fit into 313 7 times, resulting in a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 287 from 313 to get 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 41

Moving on to step 4:
261 divided by 41 is 6 with a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtract 246 from 261 to get 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 41

Step 5:
41 goes into 158 3 times with a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 763.0
If we subtract 123 from 158, we get 35.
Grab the next digit (6) from the dividend, add it to 35, then carry on: 356 / 41

Advancing to step 6:
41 can be fit into 356 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 7638.0
The remainder is 28 after subtracting 328 from 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
The number 41 fits into 280 6 times, leaving a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 7638.6
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 7638.68
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 7638.682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 10:
41 goes into 380 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 7638.6829
The remainder is 11 after subtracting 369 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
When dividing 110 by 41, we get 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 7638.68292
Subtract 82 from 110 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
The number 41 fits into 280 6 times, leaving a remainder of 34.
The next digit of our result is 6. 
Result so far: 7638.682926
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 13:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 7638.6829268
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 7638.68292682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 7638.68292682 with a remaining 3.8e-08.