764503 ÷ 43 
Our goal is to divide 764503 by 43.

Step 1:
The number 43 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 43

On to step 2:
43 can be fit into 76 1 times, resulting in a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 33 after subtracting 43 from 76.
Fetch the next digit (4) from the dividend, attach it to 33 and continue: 334 / 43

Let's proceed to step 3:
334 divided by 43 is 7 with a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 17.0
The remainder is 33 after subtracting 301 from 334.
Grab the next digit (5) from the dividend, add it to 33, then carry on: 335 / 43

Moving on to step 4:
If we divide 335 by 43, we get 7 and a remainder of 34.
The next digit of our result is 7. 
Result so far: 177.0
Subtracting 301 from 335 leaves us with 34.
Bring next digit (0) of the dividend behind the 34 and repeat the process: 340 / 43

On to step 5:
If we divide 340 by 43, we get 7 and a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 1777.0
The remainder is 39 after subtracting 301 from 340.
Take the next digit (3) from the dividend and append it to 39, then repeat: 393 / 43

Step 6:
If we divide 393 by 43, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 17779.0
Subtracting 387 from 393 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
43 goes into 60 1 times with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 17779.1
Subtract 43 from 60 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
If we divide 170 by 43, we get 3 and a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 17779.13
If we take 129 away from 170, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 9:
The number 43 fits into 410 9 times, leaving a remainder of 23.
The next digit of our result is 9. 
Result so far: 17779.139
If we take 387 away from 410, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 10:
If we divide 230 by 43, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 17779.1395
If we take 215 away from 230, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
150 divided by 43 is 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 17779.13953
Subtract 129 from 150 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 12:
The number 43 fits into 210 4 times, leaving a remainder of 38.
The next digit of our result is 4. 
Result so far: 17779.139534
The remainder is 38 after subtracting 172 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 13:
43 can be fit into 380 8 times, resulting in a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 17779.1395348
Deduct 344 from 380 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
The number 43 fits into 360 8 times, leaving a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 17779.13953488
The remainder is 16 after subtracting 344 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 17779.13953488 and a remainder of 1.6e-08.