We're dividing 653875 by 41 
Let's see how many times 41 fits into 653875.

Advancing to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 41

Moving on to step 2:
The number 41 fits into 65 1 times, leaving a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 41 from 65 to get 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 41

Let's proceed to step 3:
When dividing 243 by 41, we get 5 with a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 205 away from 243, we end up with 38.
Take the next digit (8) from the dividend and append it to 38, then repeat: 388 / 41

Step 4:
41 can be fit into 388 9 times, resulting in a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
If we take 369 away from 388, we end up with 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 41

Going ahead to step 5:
41 goes into 197 4 times with a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 1594.0
The remainder is 33 after subtracting 164 from 197.
Fetch the next digit (5) from the dividend, attach it to 33 and continue: 335 / 41

Going ahead to step 6:
41 goes into 335 8 times with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 15948.0
If we subtract 328 from 335, we 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.

Advancing to step 7:
If we divide 70 by 41, we get 1 and a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 15948.1
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.

Step 8:
When dividing 290 by 41, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 15948.17
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.

Moving on to step 9:
30 divided by 41 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 15948.17
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.

On to step 10:
41 can be fit into 300 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 15948.1707
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 11:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 15948.17073
Subtract 123 from 130 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.

Advancing to step 12:
41 goes into 70 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 15948.170731
Subtracting 41 from 70 leaves us with 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 13:
If we divide 290 by 41, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 15948.1707317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
If we divide 30 by 41, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 15948.1707317
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.

Our division results in 15948.1707317 with a remaining 3e-08.