We look at the division of 417578 by 43 
We want to divide 417578 by 43.

Let's proceed to step 1:
43 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 43

Going ahead to step 2:
41 divided by 43 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.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 43

Going ahead to step 3:
If we divide 417 by 43, we get 9 and a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 387 from 417, we get 30.
Grab the next digit (5) from the dividend, add it to 30, then carry on: 305 / 43

Let's proceed to step 4:
The number 43 fits into 305 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 97.0
Deduct 301 from 305 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 43

On to step 5:
47 divided by 43 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 971.0
If we take 43 away from 47, we end up with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 43

Advancing to step 6:
43 can be fit into 48 1 times, resulting in a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 9711.0
If we subtract 43 from 48, we get 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 7:
The number 43 fits into 50 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 9711.1
The remainder is 7 after subtracting 43 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
If we divide 70 by 43, we get 1 and a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 9711.11
The remainder is 27 after subtracting 43 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 9711.11 with a remainder of 0.027.