We look at the division of 41601 by 39 
Let's see how many times 39 fits into 41601.

Going ahead to step 1:
4 divided by 39 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 39

Advancing to step 2:
39 can be fit into 41 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 39 from 41, we get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 39

On to step 3:
39 goes into 26 0 times with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 26 after subtracting 0 from 26.
Bring next digit (0) of the dividend behind the 26 and repeat the process: 260 / 39

Moving on to step 4:
39 can be fit into 260 6 times, resulting in a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 106.0
Subtract 234 from 260 to get 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 39

Advancing to step 5:
39 can be fit into 261 6 times, resulting in a remainder of 27.
The number 6 becomes the next digit in our result. 
Result so far: 1066.0
Subtracting 234 from 261 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 6:
39 goes into 270 6 times with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 1066.6
Subtracting 234 from 270 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.

Let's proceed to step 7:
When dividing 360 by 39, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 1066.69
Subtract 351 from 360 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.

Advancing to step 8:
90 divided by 39 is 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 1066.692
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
39 can be fit into 120 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 1066.6923
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
If we divide 30 by 39, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1066.6923
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
The number 39 fits into 300 7 times, leaving a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 1066.692307
If we subtract 273 from 300, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 12:
39 goes into 270 6 times with a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 1066.6923076
Subtract 234 from 270 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
The number 39 fits into 360 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 1066.69230769
Subtracting 351 from 360 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.

The final result is 1066.69230769 with a remainder of 9e-09.