64319 ÷ 41 
Our goal is to divide 64319 by 41.

Going ahead to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 41

Advancing to step 2:
If we divide 64 by 41, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 41 from 64 to get 23.
Append the next digit (3) from the dividend to 23 and continue with: 233 / 41

Going ahead to step 3:
The number 41 fits into 233 5 times, leaving a remainder of 28.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 205 from 233, we get 28.
Fetch the next digit (1) from the dividend, attach it to 28 and continue: 281 / 41

Moving on to step 4:
41 can be fit into 281 6 times, resulting in a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 156.0
The remainder is 35 after subtracting 246 from 281.
Take the next digit (9) from the dividend and append it to 35, then repeat: 359 / 41

Advancing to step 5:
41 goes into 359 8 times with a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 1568.0
Subtracting 328 from 359 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 6:
If we divide 310 by 41, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 1568.7
Subtract 287 from 310 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
When dividing 230 by 41, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1568.75
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
The number 41 fits into 250 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 1568.756
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 41 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1568.756
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
41 goes into 400 9 times with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 1568.75609
If we subtract 369 from 400, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 11:
If we divide 310 by 41, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 1568.756097
The remainder is 23 after subtracting 287 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
If we divide 230 by 41, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1568.7560975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 13:
41 goes into 250 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 1568.75609756
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 1568.75609756 with a remaining 4e-09.