We're dividing 626506 by 41 
Our goal is to divide 626506 by 41.

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
Deduct 0 from 6 and we're left with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 41

On to step 2:
62 divided by 41 is 1 with a remainder of 21.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 21 after subtracting 41 from 62.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 41

Step 3:
If we divide 216 by 41, we get 5 and a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 11 after subtracting 205 from 216.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 41

Step 4:
If we divide 115 by 41, we get 2 and a remainder of 33.
Put 2 as the next digit of the answer. 
Result so far: 152.0
Deduct 82 from 115 and we're left with 33.
Grab the next digit (0) from the dividend, add it to 33, then carry on: 330 / 41

On to step 5:
If we divide 330 by 41, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 1528.0
If we subtract 328 from 330, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 41

Step 6:
If we divide 26 by 41, we get 0 and a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 15280.0
The remainder is 26 after subtracting 0 from 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
41 goes into 260 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 15280.6
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.

Advancing to step 8:
When dividing 140 by 41, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 15280.63
If we subtract 123 from 140, we 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.

Let's proceed to step 9:
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: 15280.634
Subtract 164 from 170 to get 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 10:
60 divided by 41 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 15280.6341
If we subtract 41 from 60, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
41 goes into 190 4 times with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 15280.63414
Subtracting 164 from 190 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 12:
41 goes into 260 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 15280.634146
Subtracting 246 from 260 leaves us 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.

On to step 13:
140 divided by 41 is 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 15280.6341463
Subtracting 123 from 140 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 14:
170 divided by 41 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 15280.63414634
Subtracting 164 from 170 leaves us 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.

Our division results in 15280.63414634 with a remaining 6e-09.