636166 ÷ 41 
Our goal is to divide 636166 by 41.

Step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 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.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 41 from 63 and we're left with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 41

On to step 3:
The number 41 fits into 226 5 times, leaving a remainder of 21.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 205 away from 226, we end up with 21.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 41

Going ahead to step 4:
If we divide 211 by 41, we get 5 and a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 155.0
If we subtract 205 from 211, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 41

On to step 5:
41 goes into 66 1 times with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 1551.0
If we take 41 away from 66, we end up with 25.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 41

Going ahead to step 6:
41 goes into 256 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 15516.0
The remainder is 10 after subtracting 246 from 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
100 divided by 41 is 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 15516.2
Subtract 82 from 100 to get 18.
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 8:
41 goes into 180 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 15516.24
Deduct 164 from 180 and we're left 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.

Let's proceed to step 9:
160 divided by 41 is 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 15516.243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 10:
If we divide 370 by 41, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 15516.2439
If we subtract 369 from 370, 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.

Going ahead to step 11:
When dividing 10 by 41, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 15516.2439
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 12:
41 goes into 100 2 times with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 15516.243902
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.

Advancing to step 13:
41 goes into 180 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 15516.2439024
If we take 164 away from 180, we end up 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 14:
If we divide 160 by 41, we get 3 and a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 15516.24390243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

After the division, we end up with 15516.24390243 and a remainder of 3.7e-08.