We're dividing 632918 by 41 
We want to divide 632918 by 41.

Going ahead to step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 41

Step 2:
When dividing 63 by 41, we get 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 41 from 63 to get 22.
Take the next digit (2) from the dividend and append it to 22, then repeat: 222 / 41

Going ahead to step 3:
222 divided by 41 is 5 with a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 17 after subtracting 205 from 222.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 41

Advancing to step 4:
179 divided by 41 is 4 with a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 154.0
If we subtract 164 from 179, we get 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 41

Moving on to step 5:
41 goes into 151 3 times with a remainder of 28.
The next digit of our result is 3. 
Result so far: 1543.0
Subtract 123 from 151 to get 28.
Fetch the next digit (8) from the dividend, attach it to 28 and continue: 288 / 41

On to step 6:
41 can be fit into 288 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 15437.0
If we subtract 287 from 288, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
10 divided by 41 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15437.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
When dividing 100 by 41, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 15437.02
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 15437.024
Subtracting 164 from 180 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
41 can be fit into 160 3 times, resulting in a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 15437.0243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
If we divide 370 by 41, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 15437.02439
Subtract 369 from 370 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
41 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 15437.02439
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 15437.0243902
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 14:
180 divided by 41 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 15437.02439024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 15437.02439024 with a remaining 1.6e-08.