We're dividing 17945864 by 321 
Our goal is to divide 17945864 by 321.

On to step 1:
When dividing 1 by 321, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 321

On to step 2:
If we divide 17 by 321, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 321

On to step 3:
When dividing 179 by 321, we get 0 with a remainder of 179.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 179 and we're left with 179.
Include the next digit (4) from the dividend after 179, then repeat: 1794 / 321

Moving on to step 4:
When dividing 1794 by 321, we get 5 with a remainder of 189.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 1605 from 1794 leaves us with 189.
Fetch the next digit (5) from the dividend, attach it to 189 and continue: 1895 / 321

On to step 5:
321 goes into 1895 5 times with a remainder of 290.
The next digit of our result is 5. 
Result so far: 55.0
Subtract 1605 from 1895 to get 290.
Fetch the next digit (8) from the dividend, attach it to 290 and continue: 2908 / 321

Going ahead to step 6:
321 can be fit into 2908 9 times, resulting in a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 559.0
Subtract 2889 from 2908 to get 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 321

Advancing to step 7:
196 divided by 321 is 0 with a remainder of 196.
The next digit of our result is 0. 
Result so far: 5590.0
Subtract 0 from 196 to get 196.
Grab the next digit (4) from the dividend, add it to 196, then carry on: 1964 / 321

Let's proceed to step 8:
If we divide 1964 by 321, we get 6 and a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 55906.0
The remainder is 38 after subtracting 1926 from 1964.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
321 can be fit into 380 1 times, resulting in a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 55906.1
The remainder is 59 after subtracting 321 from 380.
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 10:
321 can be fit into 590 1 times, resulting in a remainder of 269.
Use 1 as the next digit of our solution. 
Result so far: 55906.11
If we subtract 321 from 590, we get 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

The final result is 55906.11 with a remainder of 0.269.