We look at the division of 312113 by 41 
We want to divide 312113 by 41.

On to step 1:
41 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 41

Step 2:
If we divide 31 by 41, we get 0 and a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Grab the next digit (2) from the dividend, add it to 31, then carry on: 312 / 41

Moving on to step 3:
If we divide 312 by 41, we get 7 and a remainder of 25.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 287 from 312 to get 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 41

Let's proceed to step 4:
When dividing 251 by 41, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtract 246 from 251 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 41

Going ahead to step 5:
When dividing 51 by 41, we get 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 761.0
Deduct 41 from 51 and we're left with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 41

On to step 6:
103 divided by 41 is 2 with a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 7612.0
Subtract 82 from 103 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
The number 41 fits into 210 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7612.5
Subtract 205 from 210 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
41 goes into 50 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 7612.51
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 7612.512
Subtract 82 from 90 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
41 goes into 80 1 times with a remainder of 39.
The next digit of our result is 1. 
Result so far: 7612.5121
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 11:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 7612.51219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 12:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 7612.512195
Subtract 205 from 210 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
41 goes into 50 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 7612.5121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 14:
When dividing 90 by 41, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 7612.51219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 7612.51219512 and a remainder of 8e-09.