415075 ÷ 81 
We want to divide 415075 by 81.

Step 1:
The number 81 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 81

Step 2:
41 divided by 81 is 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (5) of the dividend behind the 41 and repeat the process: 415 / 81

Step 3:
When dividing 415 by 81, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 405 from 415, we get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 81

Let's proceed to step 4:
81 can be fit into 100 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 51.0
If we take 81 away from 100, we end up with 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 81

Going ahead to step 5:
The number 81 fits into 197 2 times, leaving a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 512.0
The remainder is 35 after subtracting 162 from 197.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 81

Moving on to step 6:
81 goes into 355 4 times with a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 5124.0
If we take 324 away from 355, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
81 can be fit into 310 3 times, resulting in a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 5124.3
Subtract 243 from 310 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 8:
The number 81 fits into 670 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 5124.38
Subtract 648 from 670 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
The number 81 fits into 220 2 times, leaving a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 5124.382
The remainder is 58 after subtracting 162 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 10:
580 divided by 81 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 5124.3827
Subtracting 567 from 580 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.

Advancing to step 11:
The number 81 fits into 130 1 times, leaving a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 5124.38271
Deduct 81 from 130 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 12:
81 goes into 490 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 5124.382716
Subtract 486 from 490 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
81 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 5124.382716
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
The number 81 fits into 400 4 times, leaving a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 5124.38271604
Deduct 324 from 400 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

After the division, we end up with 5124.38271604 and a remainder of 7.6e-08.