We look at the division of 641528 by 41 
Our goal is to divide 641528 by 41.

Moving on to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 41

Step 2:
41 goes into 64 1 times with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 41 from 64 to get 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 41

Let's proceed to step 3:
If we divide 231 by 41, we get 5 and a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 26 after subtracting 205 from 231.
Include the next digit (5) from the dividend after 26, then repeat: 265 / 41

Moving on to step 4:
The number 41 fits into 265 6 times, leaving a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 156.0
The remainder is 19 after subtracting 246 from 265.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 41

Let's proceed to step 5:
192 divided by 41 is 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 1564.0
If we take 164 away from 192, we end up with 28.
Append the next digit (8) from the dividend to 28 and continue with: 288 / 41

On to step 6:
41 goes into 288 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 15647.0
Subtracting 287 from 288 leaves us with 1.
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 7:
The number 41 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15647.0
Subtracting 0 from 10 leaves us 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.

Moving on to step 8:
When dividing 100 by 41, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 15647.02
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.

Going ahead to step 9:
41 goes into 180 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 15647.024
If we take 164 away from 180, we end up with 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 10:
41 can be fit into 160 3 times, resulting in a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 15647.0243
Subtract 123 from 160 to 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.

Going ahead to step 11:
When dividing 370 by 41, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 15647.02439
Deduct 369 from 370 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
41 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 15647.02439
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
41 can be fit into 100 2 times, resulting in a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 15647.0243902
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 14:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 15647.02439024
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 15647.02439024 with a remaining 1.6e-08.