101444 ÷ 41 
We're looking to find how many times 41 goes into 101444.

On to step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 41

On to step 2:
If we divide 10 by 41, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 41

On to step 3:
The number 41 fits into 101 2 times, leaving a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 19 after subtracting 82 from 101.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 41

Moving on to step 4:
41 can be fit into 194 4 times, resulting in a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
Subtract 164 from 194 to get 30.
Append the next digit (4) from the dividend to 30 and continue with: 304 / 41

Step 5:
304 divided by 41 is 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 247.0
Subtracting 287 from 304 leaves us with 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 41

Going ahead to step 6:
When dividing 174 by 41, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 2474.0
If we take 164 away from 174, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 41, we get 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 2474.2
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
The number 41 fits into 180 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 2474.24
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
41 can be fit into 160 3 times, resulting in a remainder of 37.
The next digit of our result is 3. 
Result so far: 2474.243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 10:
If we divide 370 by 41, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 2474.2439
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
If we divide 10 by 41, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2474.2439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
The number 41 fits into 100 2 times, leaving a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 2474.243902
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
If we divide 180 by 41, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 2474.2439024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
41 goes into 160 3 times with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 2474.24390243
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

In conclusion, the division gives 2474.24390243 with a balance of 3.7e-08.