873657 ÷ 41 
Our goal is to divide 873657 by 41.

Going ahead to step 1:
41 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 41

Advancing to step 2:
87 divided by 41 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 82 from 87 to get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 41

Advancing to step 3:
41 can be fit into 53 1 times, resulting in a remainder of 12.
The next digit of our result is 1. 
Result so far: 21.0
Deduct 41 from 53 and we're left with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 41

On to step 4:
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: 213.0
Deduct 123 from 126 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 41

Let's proceed to step 5:
The number 41 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 2130.0
If we subtract 0 from 35, we get 35.
Bring next digit (7) of the dividend behind the 35 and repeat the process: 357 / 41

Let's proceed to step 6:
41 can be fit into 357 8 times, resulting in a remainder of 29.
The next digit of our result is 8. 
Result so far: 21308.0
Deduct 328 from 357 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.

Going ahead to step 7:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 21308.7
Subtract 287 from 290 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 21308.7
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 21308.707
Subtract 287 from 300 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 10:
41 goes into 130 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 21308.7073
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.

Step 11:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 21308.70731
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 12:
If we divide 290 by 41, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 21308.707317
Subtracting 287 from 290 leaves us 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.

Step 13:
30 divided by 41 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 21308.707317
If we subtract 0 from 30, we 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.

Going ahead to step 14:
When dividing 300 by 41, we get 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 21308.70731707
Subtracting 287 from 300 leaves us 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.

The final outcome is 21308.70731707, with a leftover of 1.3e-08.