We look at the division of 374879 by 43 
We want to divide 374879 by 43.

Advancing to step 1:
3 divided by 43 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 43

Moving on to step 2:
If we divide 37 by 43, we get 0 and a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 43

Step 3:
374 divided by 43 is 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 30 after subtracting 344 from 374.
Fetch the next digit (8) from the dividend, attach it to 30 and continue: 308 / 43

Moving on to step 4:
43 can be fit into 308 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
Deduct 301 from 308 and we're left with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 43

Step 5:
43 can be fit into 77 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 871.0
If we subtract 43 from 77, we get 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 43

Moving on to step 6:
When dividing 349 by 43, we get 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 8718.0
Deduct 344 from 349 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.

Let's proceed to step 7:
If we divide 50 by 43, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 8718.1
Subtracting 43 from 50 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
43 can be fit into 70 1 times, resulting in a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 8718.11
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 8718.11 with a remainder of 0.027.