We're dividing 42664 by 41 
We're looking to find how many times 41 goes into 42664.

Moving on to step 1:
When dividing 4 by 41, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 41

Going ahead to step 2:
41 can be fit into 42 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 41 from 42 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 41

On to step 3:
If we divide 16 by 41, we get 0 and a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 16 to get 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 41

Advancing to step 4:
41 goes into 166 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Subtract 164 from 166 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 41

Moving on to step 5:
When dividing 24 by 41, we get 0 with a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 1040.0
Subtract 0 from 24 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 6:
When dividing 240 by 41, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1040.5
Subtract 205 from 240 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
41 goes into 350 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 1040.58
Deduct 328 from 350 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
When dividing 220 by 41, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1040.585
Subtract 205 from 220 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
When dividing 150 by 41, we get 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 1040.5853
If we subtract 123 from 150, 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.

Step 10:
41 goes into 270 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 1040.58536
Subtract 246 from 270 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
The number 41 fits into 240 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 1040.585365
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 12:
If we divide 350 by 41, we get 8 and a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 1040.5853658
Subtracting 328 from 350 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
The number 41 fits into 220 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 1040.58536585
If we subtract 205 from 220, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 1040.58536585 with a remaining 1.5e-08.