We're dividing 630635 by 41 
We want to divide 630635 by 41.

On to step 1:
41 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 41

Step 2:
When dividing 63 by 41, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 41 from 63 to get 22.
Take the next digit (0) from the dividend and append it to 22, then repeat: 220 / 41

On to step 3:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 205 from 220 leaves us with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 41

Moving on to step 4:
When dividing 156 by 41, we get 3 with a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 153.0
If we take 123 away from 156, we end up with 33.
Take the next digit (3) from the dividend and append it to 33, then repeat: 333 / 41

On to step 5:
If we divide 333 by 41, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 1538.0
Deduct 328 from 333 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 41

Let's proceed to step 6:
55 divided by 41 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 15381.0
The remainder is 14 after subtracting 41 from 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
41 can be fit into 140 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 15381.3
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
170 divided by 41 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 15381.34
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.

Going ahead to step 9:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 15381.341
Subtracting 41 from 60 leaves us with 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 10:
41 goes into 190 4 times with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 15381.3414
Deduct 164 from 190 and we're left 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 11:
If we divide 260 by 41, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 15381.34146
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.

Moving on to step 12:
If we divide 140 by 41, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 15381.341463
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
When dividing 170 by 41, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 15381.3414634
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.

Let's proceed to step 14:
The number 41 fits into 60 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 15381.34146341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 15381.34146341 with a balance of 1.9e-08.