66642 ÷ 41 
Our goal is to divide 66642 by 41.

Moving on to step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 41

Going ahead to step 2:
When dividing 66 by 41, we get 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 41 from 66, we get 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 41

Going ahead to step 3:
The number 41 fits into 256 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtracting 246 from 256 leaves us with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 41

Going ahead to step 4:
When dividing 104 by 41, we get 2 with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 162.0
The remainder is 22 after subtracting 82 from 104.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 41

Step 5:
41 can be fit into 222 5 times, resulting in a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 1625.0
If we subtract 205 from 222, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 6:
41 can be fit into 170 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1625.4
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
41 goes into 60 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1625.41
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 8:
When dividing 190 by 41, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 1625.414
Subtracting 164 from 190 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
41 goes into 260 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 1625.4146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
If we divide 140 by 41, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1625.41463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 11:
When dividing 170 by 41, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1625.414634
If we subtract 164 from 170, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
The number 41 fits into 60 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1625.4146341
Deduct 41 from 60 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 13:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 1625.41463414
Subtract 164 from 190 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 1625.41463414 with a remainder of 2.6e-08.