We're dividing 515164 by 43 
We're looking to find how many times 43 goes into 515164.

Going ahead to step 1:
The number 43 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 43

Advancing to step 2:
When dividing 51 by 43, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 8 after subtracting 43 from 51.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 43

Moving on to step 3:
The number 43 fits into 85 1 times, leaving a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 42 after subtracting 43 from 85.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 43

Advancing to step 4:
421 divided by 43 is 9 with a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 119.0
If we subtract 387 from 421, we get 34.
Take the next digit (6) from the dividend and append it to 34, then repeat: 346 / 43

Step 5:
346 divided by 43 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1198.0
Subtracting 344 from 346 leaves us with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 43

Advancing to step 6:
If we divide 24 by 43, we get 0 and a remainder of 24.
Record the quotient 0 as the next digit in the result. 
Result so far: 11980.0
Subtracting 0 from 24 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
43 goes into 240 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 11980.5
If we subtract 215 from 240, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
When dividing 250 by 43, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 11980.55
Subtract 215 from 250 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 11980.55, and the remainder is 0.035.