87829 ÷ 41 
We're looking to find how many times 41 goes into 87829.

Going ahead to step 1:
If we divide 8 by 41, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 41

Advancing to step 2:
When dividing 87 by 41, we get 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 82 from 87 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 41

Advancing to step 3:
If we divide 58 by 41, we get 1 and a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 21.0
The remainder is 17 after subtracting 41 from 58.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 41

Step 4:
41 can be fit into 172 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 214.0
Subtract 164 from 172 to get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 41

Moving on to step 5:
89 divided by 41 is 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2142.0
Deduct 82 from 89 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 6:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 2142.1
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 2142.17
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
41 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 2142.17
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
300 divided by 41 is 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 2142.1707
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 2142.17073
Subtract 123 from 130 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
When dividing 70 by 41, we get 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 2142.170731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 12:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 2142.1707317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
41 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 2142.1707317
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 2142.1707317 with a remainder of 3e-08.