We're dividing 632669 by 41 
We want to divide 632669 by 41.

Moving on to step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 41

Moving on to step 2:
41 can be fit into 63 1 times, resulting in a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 41 from 63 and we're left with 22.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 41

Moving on to step 3:
If we divide 222 by 41, we get 5 and a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 205 from 222, we get 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 41

Step 4:
41 goes into 176 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 154.0
Subtracting 164 from 176 leaves us with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 41

Let's proceed to step 5:
When dividing 126 by 41, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 1543.0
Subtract 123 from 126 to get 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 41

Advancing to step 6:
41 goes into 39 0 times with a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 15430.0
Deduct 0 from 39 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
If we divide 390 by 41, we get 9 and a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 15430.9
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
41 goes into 210 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 15430.95
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
50 divided by 41 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 15430.951
If we subtract 41 from 50, we 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 10:
41 can be fit into 90 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 15430.9512
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
If we divide 80 by 41, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 15430.95121
If we take 41 away from 80, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 12:
The number 41 fits into 390 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 15430.951219
The remainder is 21 after subtracting 369 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15430.9512195
Deduct 205 from 210 and we're left with 5.
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 14:
If we divide 50 by 41, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 15430.95121951
Deduct 41 from 50 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 15430.95121951 with a remainder of 9e-09.