We look at the division of 310406 by 41 
Our goal is to divide 310406 by 41.

Advancing to step 1:
41 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 41

Advancing to step 2:
31 divided by 41 is 0 with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 41

Step 3:
The number 41 fits into 310 7 times, leaving a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 287 from 310 to get 23.
Append the next digit (4) from the dividend to 23 and continue with: 234 / 41

Advancing to step 4:
The number 41 fits into 234 5 times, leaving a remainder of 29.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we subtract 205 from 234, we get 29.
Bring next digit (0) of the dividend behind the 29 and repeat the process: 290 / 41

Moving on to step 5:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 757.0
If we take 287 away from 290, we end up with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 41

Step 6:
41 goes into 36 0 times with a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 7570.0
The remainder is 36 after subtracting 0 from 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
If we divide 360 by 41, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 7570.8
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
If we divide 320 by 41, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 7570.87
If we subtract 287 from 320, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 9:
If we divide 330 by 41, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 7570.878
If we subtract 328 from 330, 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.

Advancing to step 10:
20 divided by 41 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 7570.878
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
41 can be fit into 200 4 times, resulting in a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 7570.87804
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
41 goes into 360 8 times with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 7570.878048
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
320 divided by 41 is 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 7570.8780487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 14:
If we divide 330 by 41, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 7570.87804878
Deduct 328 from 330 and we're left with 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 outcome is 7570.87804878, with a leftover of 2e-09.