We're dividing 43631 by 41 
We're looking to find how many times 41 goes into 43631.

Step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 41

Step 2:
41 goes into 43 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 41 from 43 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 41

Advancing to step 3:
26 divided by 41 is 0 with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 26, we end up with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 41

Going ahead to step 4:
41 can be fit into 263 6 times, resulting in a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtract 246 from 263 to get 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 41

On to step 5:
When dividing 171 by 41, we get 4 with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 1064.0
Subtract 164 from 171 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 6:
70 divided by 41 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1064.1
Subtract 41 from 70 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
The number 41 fits into 290 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 1064.17
If we subtract 287 from 290, we 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.

On to step 8:
41 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 1064.17
Subtracting 0 from 30 leaves us with 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 9:
300 divided by 41 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 1064.1707
Subtract 287 from 300 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 10:
If we divide 130 by 41, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1064.17073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
The number 41 fits into 70 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1064.170731
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
41 goes into 290 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 1064.1707317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
41 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1064.1707317
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 1064.1707317, and the remainder is 3e-08.