Let's divide 640699 by 41
Our goal is to divide 640699 by 41.

Advancing to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 41

Moving on to step 2:
If we divide 64 by 41, we get 1 and a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
If we take 41 away from 64, we end up with 23.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 41

Moving on to step 3:
If we divide 230 by 41, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 205 from 230 leaves us with 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 41

Moving on to step 4:
If we divide 256 by 41, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 156.0
Deduct 246 from 256 and we're left with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 41

On to step 5:
The number 41 fits into 109 2 times, leaving a remainder of 27.
The next digit of our result is 2. 
Result so far: 1562.0
The remainder is 27 after subtracting 82 from 109.
Take the next digit (9) from the dividend and append it to 27, then repeat: 279 / 41

Step 6:
The number 41 fits into 279 6 times, leaving a remainder of 33.
Record the quotient 6 as the next digit in the result. 
Result so far: 15626.0
If we take 246 away from 279, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
330 divided by 41 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 15626.8
If we take 328 away from 330, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
The number 41 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 15626.8
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
41 goes into 200 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 15626.804
If we take 164 away from 200, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
The number 41 fits into 360 8 times, leaving a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 15626.8048
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
When dividing 320 by 41, we get 7 with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 15626.80487
The remainder is 33 after subtracting 287 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 12:
330 divided by 41 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 15626.804878
Deduct 328 from 330 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
If we divide 20 by 41, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 15626.804878
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 14:
41 goes into 200 4 times with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 15626.80487804
If we subtract 164 from 200, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 15626.80487804 with a remainder of 3.6e-08.