Let's divide 171669 by 41
We want to figure out the number of times 171669 can be divided by 41.

Going ahead to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 41

Going ahead to step 2:
41 goes into 17 0 times with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 41

Going ahead to step 3:
171 divided by 41 is 4 with a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 164 away from 171, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 41

On to step 4:
41 can be fit into 76 1 times, resulting in a remainder of 35.
The next digit of our result is 1. 
Result so far: 41.0
If we take 41 away from 76, we end up with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 41

On to step 5:
When dividing 356 by 41, we get 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 418.0
Subtracting 328 from 356 leaves us with 28.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 41

Moving on to step 6:
289 divided by 41 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 4187.0
If we subtract 287 from 289, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 41 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 4187.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
If we divide 200 by 41, we get 4 and a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 4187.04
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
41 goes into 360 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 4187.048
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
320 divided by 41 is 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 4187.0487
Subtract 287 from 320 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 11:
41 goes into 330 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 4187.04878
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
When dividing 20 by 41, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 4187.04878
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
200 divided by 41 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 4187.0487804
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
41 goes into 360 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 4187.04878048
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 4187.04878048 and a remainder of 3.2e-08.