Let's divide 412574 by 81
We're looking to find how many times 81 goes into 412574.

Let's proceed to step 1:
81 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 81

On to step 2:
The number 81 fits into 41 0 times, leaving a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 81

On to step 3:
The number 81 fits into 412 5 times, leaving a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 405 away from 412, we end up with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 81

Going ahead to step 4:
When dividing 75 by 81, we get 0 with a remainder of 75.
The next digit of our result is 0. 
Result so far: 50.0
Deduct 0 from 75 and we're left with 75.
Take the next digit (7) from the dividend and append it to 75, then repeat: 757 / 81

On to step 5:
81 goes into 757 9 times with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 509.0
If we take 729 away from 757, we end up with 28.
Append the next digit (4) from the dividend to 28 and continue with: 284 / 81

Let's proceed to step 6:
81 goes into 284 3 times with a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 5093.0
Subtract 243 from 284 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
When dividing 410 by 81, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5093.5
Deduct 405 from 410 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
When dividing 50 by 81, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 5093.5
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
500 divided by 81 is 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 5093.506
Deduct 486 from 500 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
If we divide 140 by 81, we get 1 and a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 5093.5061
The remainder is 59 after subtracting 81 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 11:
The number 81 fits into 590 7 times, leaving a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 5093.50617
Subtract 567 from 590 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 12:
81 goes into 230 2 times with a remainder of 68.
The next digit of our result is 2. 
Result so far: 5093.506172
If we subtract 162 from 230, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 13:
680 divided by 81 is 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 5093.5061728
The remainder is 32 after subtracting 648 from 680.
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 14:
When dividing 320 by 81, we get 3 with a remainder of 77.
Write down 3 as next digit of the result. 
Result so far: 5093.50617283
Subtracting 243 from 320 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

After the division, we end up with 5093.50617283 and a remainder of 7.7e-08.