Let's divide 321318 by 41
Our goal is to divide 321318 by 41.

Step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 41

On to step 2:
When dividing 32 by 41, we get 0 with a remainder of 32.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 32, we end up with 32.
Grab the next digit (1) from the dividend, add it to 32, then carry on: 321 / 41

Moving on to step 3:
If we divide 321 by 41, we get 7 and a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 287 from 321 to get 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 41

Let's proceed to step 4:
41 can be fit into 343 8 times, resulting in a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we take 328 away from 343, we end up with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 41

Going ahead to step 5:
41 can be fit into 151 3 times, resulting in a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 783.0
Subtract 123 from 151 to get 28.
Fetch the next digit (8) from the dividend, attach it to 28 and continue: 288 / 41

Advancing to step 6:
41 goes into 288 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7837.0
The remainder is 1 after subtracting 287 from 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 41 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 7837.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 41, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 7837.02
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
180 divided by 41 is 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 7837.024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
41 goes into 160 3 times with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 7837.0243
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
41 goes into 370 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 7837.02439
Deduct 369 from 370 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
If we divide 10 by 41, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 7837.02439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
41 can be fit into 100 2 times, resulting in a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 7837.0243902
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 14:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 7837.02439024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 7837.02439024 with a balance of 1.6e-08.