We look at the division of 43178191 by 781 
Our goal is to divide 43178191 by 781.

Let's proceed to step 1:
781 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 781

Step 2:
If we divide 43 by 781, we get 0 and a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 781

Let's proceed to step 3:
431 divided by 781 is 0 with a remainder of 431.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 431, we get 431.
Fetch the next digit (7) from the dividend, attach it to 431 and continue: 4317 / 781

Step 4:
781 can be fit into 4317 5 times, resulting in a remainder of 412.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 3905 away from 4317, we end up with 412.
Take the next digit (8) from the dividend and append it to 412, then repeat: 4128 / 781

Step 5:
When dividing 4128 by 781, we get 5 with a remainder of 223.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we subtract 3905 from 4128, we get 223.
Include the next digit (1) from the dividend after 223, then repeat: 2231 / 781

Let's proceed to step 6:
2231 divided by 781 is 2 with a remainder of 669.
Record the quotient 2 as the next digit in the result. 
Result so far: 552.0
The remainder is 669 after subtracting 1562 from 2231.
Bring next digit (9) of the dividend behind the 669 and repeat the process: 6699 / 781

Going ahead to step 7:
When dividing 6699 by 781, we get 8 with a remainder of 451.
Use 8 as the next digit of our solution. 
Result so far: 5528.0
The remainder is 451 after subtracting 6248 from 6699.
Grab the next digit (1) from the dividend, add it to 451, then carry on: 4511 / 781

Step 8:
781 goes into 4511 5 times with a remainder of 606.
Write down 5 as next digit of the result. 
Result so far: 55285.0
If we subtract 3905 from 4511, we get 606.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

Advancing to step 9:
781 goes into 6060 7 times with a remainder of 593.
The next digit of our result is 7. 
Result so far: 55285.7
Subtracting 5467 from 6060 leaves us with 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Step 10:
If we divide 5930 by 781, we get 7 and a remainder of 463.
Write down 7 as next digit of the result. 
Result so far: 55285.77
Deduct 5467 from 5930 and we're left with 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4630, and continue the process.

The final result is 55285.77 with a remainder of 0.463.