We're dividing 639375 by 41 
Our goal is to divide 639375 by 41.

Moving on to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 41

On to step 2:
The number 41 fits into 63 1 times, leaving a remainder of 22.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 41 from 63 and we're left with 22.
Include the next digit (9) from the dividend after 22, then repeat: 229 / 41

Advancing to step 3:
The number 41 fits into 229 5 times, leaving a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 205 away from 229, we end up with 24.
Bring next digit (3) of the dividend behind the 24 and repeat the process: 243 / 41

Step 4:
41 can be fit into 243 5 times, resulting in a remainder of 38.
The number 5 becomes the next digit in our result. 
Result so far: 155.0
Subtract 205 from 243 to get 38.
Fetch the next digit (7) from the dividend, attach it to 38 and continue: 387 / 41

Let's proceed to step 5:
If we divide 387 by 41, we get 9 and a remainder of 18.
The next digit of our result is 9. 
Result so far: 1559.0
Subtracting 369 from 387 leaves us with 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 41

On to step 6:
The number 41 fits into 185 4 times, leaving a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 15594.0
Subtract 164 from 185 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
210 divided by 41 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 15594.5
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 15594.51
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
When dividing 90 by 41, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 15594.512
If we take 82 away from 90, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 15594.5121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 11:
390 divided by 41 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 15594.51219
Subtract 369 from 390 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 12:
The number 41 fits into 210 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15594.512195
If we subtract 205 from 210, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
When dividing 50 by 41, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 15594.5121951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 14:
90 divided by 41 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 15594.51219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 15594.51219512 with a remaining 8e-09.