85077 ÷ 41 
Our goal is to divide 85077 by 41.

Step 1:
41 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 41

Step 2:
41 can be fit into 85 2 times, resulting in a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 82 away from 85, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 41

On to step 3:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we subtract 0 from 30, we get 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 41

On to step 4:
41 can be fit into 307 7 times, resulting in a remainder of 20.
The next digit of our result is 7. 
Result so far: 207.0
If we subtract 287 from 307, we get 20.
Take the next digit (7) from the dividend and append it to 20, then repeat: 207 / 41

Going ahead to step 5:
When dividing 207 by 41, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 2075.0
Deduct 205 from 207 and we're left 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 6:
41 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2075.0
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.

Advancing to step 7:
The number 41 fits into 200 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 2075.04
The remainder is 36 after subtracting 164 from 200.
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 8:
41 goes into 360 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 2075.048
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.

Moving on to step 9:
When dividing 320 by 41, we get 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 2075.0487
If we subtract 287 from 320, we 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 10:
When dividing 330 by 41, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 2075.04878
Subtract 328 from 330 to 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.

Let's proceed to step 11:
When dividing 20 by 41, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 2075.04878
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.

Let's proceed to step 12:
200 divided by 41 is 4 with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 2075.0487804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 13:
If we divide 360 by 41, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 2075.04878048
If we take 328 away from 360, we end up 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.

Our division results in 2075.04878048 with a remaining 3.2e-08.