We look at the division of 350971 by 43 
Let's see how many times 43 fits into 350971.

Going ahead to step 1:
When dividing 3 by 43, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 43

Advancing to step 2:
43 can be fit into 35 0 times, resulting in a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 43

Going ahead to step 3:
When dividing 350 by 43, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 344 from 350 leaves us with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 43

Advancing to step 4:
The number 43 fits into 69 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 81.0
The remainder is 26 after subtracting 43 from 69.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 43

Step 5:
When dividing 267 by 43, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 816.0
Subtract 258 from 267 to get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 43

On to step 6:
43 goes into 91 2 times with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 8162.0
Subtracting 86 from 91 leaves us 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 7:
50 divided by 43 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 8162.1
Subtract 43 from 50 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
The number 43 fits into 70 1 times, leaving a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 8162.11
If we subtract 43 from 70, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The quotient of the division is 8162.11, and the remainder is 0.027.