63901 ÷ 41 
Our goal is to divide 63901 by 41.

Let's proceed to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 41

Moving on to step 2:
If we divide 63 by 41, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 63 leaves us with 22.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 41

Step 3:
If we divide 229 by 41, we get 5 and a remainder of 24.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtract 205 from 229 to get 24.
Fetch the next digit (0) from the dividend, attach it to 24 and continue: 240 / 41

Let's proceed to step 4:
The number 41 fits into 240 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 155.0
If we subtract 205 from 240, we get 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 41

Let's proceed to step 5:
351 divided by 41 is 8 with a remainder of 23.
Write down 8 as next digit of the result. 
Result so far: 1558.0
Subtract 328 from 351 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.

Moving on to step 6:
230 divided by 41 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 1558.5
Subtracting 205 from 230 leaves us 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 7:
41 goes into 250 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 1558.56
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
41 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1558.56
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 1558.5609
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 10:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 1558.56097
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 11:
The number 41 fits into 230 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 1558.560975
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.

Moving on to step 12:
41 can be fit into 250 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1558.5609756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 1558.5609756
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.

The final result is 1558.5609756 with a remainder of 4e-08.