We're dividing 417434 by 81 
Our goal is to divide 417434 by 81.

Let's proceed to step 1:
If we divide 4 by 81, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 81

Advancing to step 2:
81 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 81

Going ahead to step 3:
81 goes into 417 5 times with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 405 from 417, we get 12.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 81

On to step 4:
When dividing 124 by 81, we get 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 51.0
If we subtract 81 from 124, we get 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 81

Step 5:
If we divide 433 by 81, we get 5 and a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 515.0
The remainder is 28 after subtracting 405 from 433.
Bring next digit (4) of the dividend behind the 28 and repeat the process: 284 / 81

Going ahead to step 6:
284 divided by 81 is 3 with a remainder of 41.
The next digit of our result is 3. 
Result so far: 5153.0
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.

On to step 7:
81 goes into 410 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5153.5
If we take 405 away from 410, we end up 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.

Advancing to step 8:
50 divided by 81 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 5153.5
Subtract 0 from 50 to get 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:
81 can be fit into 500 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 5153.506
The remainder is 14 after subtracting 486 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
81 goes into 140 1 times with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 5153.5061
If we take 81 away from 140, we end up with 59.
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:
81 goes into 590 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 5153.50617
If we subtract 567 from 590, we 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.

Going ahead to step 12:
The number 81 fits into 230 2 times, leaving a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 5153.506172
If we take 162 away from 230, we end up with 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:
81 goes into 680 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 5153.5061728
If we take 648 away from 680, 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.

On to step 14:
When dividing 320 by 81, we get 3 with a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 5153.50617283
Subtract 243 from 320 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Our division results in 5153.50617283 with a remaining 7.7e-08.