We look at the division of 901071 by 41 
We're looking to find how many times 41 goes into 901071.

Advancing to step 1:
The number 41 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 41

On to step 2:
41 goes into 90 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 82 from 90 leaves us with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 41

Going ahead to step 3:
41 goes into 81 1 times with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtracting 41 from 81 leaves us with 40.
Bring next digit (0) of the dividend behind the 40 and repeat the process: 400 / 41

Advancing to step 4:
If we divide 400 by 41, we get 9 and a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 219.0
The remainder is 31 after subtracting 369 from 400.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 41

Advancing to step 5:
The number 41 fits into 317 7 times, leaving a remainder of 30.
Use 7 as the next digit of our solution. 
Result so far: 2197.0
The remainder is 30 after subtracting 287 from 317.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 41

On to step 6:
The number 41 fits into 301 7 times, leaving a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 21977.0
The remainder is 14 after subtracting 287 from 301.
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 7:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 21977.3
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
If we divide 170 by 41, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 21977.34
The remainder is 6 after subtracting 164 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
The number 41 fits into 60 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 21977.341
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.

Going ahead to step 10:
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: 21977.3414
If we subtract 164 from 190, we 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.

On to step 11:
41 goes into 260 6 times with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 21977.34146
If we take 246 away from 260, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
41 goes into 140 3 times with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 21977.341463
Subtract 123 from 140 to 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.

Moving on to step 13:
When dividing 170 by 41, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 21977.3414634
Deduct 164 from 170 and we're left 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 14:
60 divided by 41 is 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 21977.34146341
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.

After the division, we end up with 21977.34146341 and a remainder of 1.9e-08.