817311 ÷ 426 
Our goal is to divide 817311 by 426.

Advancing to step 1:
8 divided by 426 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 426

Step 2:
81 divided by 426 is 0 with a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 81 to get 81.
Bring next digit (7) of the dividend behind the 81 and repeat the process: 817 / 426

Advancing to step 3:
If we divide 817 by 426, we get 1 and a remainder of 391.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 426 from 817, we get 391.
Bring next digit (3) of the dividend behind the 391 and repeat the process: 3913 / 426

Moving on to step 4:
When dividing 3913 by 426, we get 9 with a remainder of 79.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Deduct 3834 from 3913 and we're left with 79.
Fetch the next digit (1) from the dividend, attach it to 79 and continue: 791 / 426

Moving on to step 5:
426 can be fit into 791 1 times, resulting in a remainder of 365.
The number 1 becomes the next digit in our result. 
Result so far: 191.0
If we take 426 away from 791, we end up with 365.
Take the next digit (1) from the dividend and append it to 365, then repeat: 3651 / 426

Going ahead to step 6:
3651 divided by 426 is 8 with a remainder of 243.
Put 8 as the next digit of the answer. 
Result so far: 1918.0
If we take 3408 away from 3651, we end up with 243.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2430, and continue the process.

Step 7:
If we divide 2430 by 426, we get 5 and a remainder of 300.
Record the quotient 5 as the next digit in the result. 
Result so far: 1918.5
If we subtract 2130 from 2430, we get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

On to step 8:
The number 426 fits into 3000 7 times, leaving a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 1918.57
If we subtract 2982 from 3000, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
When dividing 180 by 426, we get 0 with a remainder of 180.
The next digit of our result is 0. 
Result so far: 1918.57
Subtract 0 from 180 to get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Moving on to step 10:
If we divide 1800 by 426, we get 4 and a remainder of 96.
Use 4 as the next digit of our solution. 
Result so far: 1918.5704
Deduct 1704 from 1800 and we're left with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 11:
960 divided by 426 is 2 with a remainder of 108.
The number 2 becomes the next digit in our result. 
Result so far: 1918.57042
Deduct 852 from 960 and we're left with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Let's proceed to step 12:
When dividing 1080 by 426, we get 2 with a remainder of 228.
Record the quotient 2 as the next digit in the result. 
Result so far: 1918.570422
Deduct 852 from 1080 and we're left with 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

The final result is 1918.570422 with a remainder of 2.28e-05.