We divide 641278 by 43
Our goal is to divide 641278 by 43.

Step 1:
If we divide 6 by 43, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 43

On to step 2:
43 goes into 64 1 times with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 43 away from 64, we end up with 21.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 43

Advancing to step 3:
211 divided by 43 is 4 with a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we subtract 172 from 211, we get 39.
Grab the next digit (2) from the dividend, add it to 39, then carry on: 392 / 43

Advancing to step 4:
The number 43 fits into 392 9 times, leaving a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 149.0
If we take 387 away from 392, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 43

On to step 5:
The number 43 fits into 57 1 times, leaving a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1491.0
Subtract 43 from 57 to get 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 43

Moving on to step 6:
If we divide 148 by 43, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 14913.0
Subtract 129 from 148 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
43 goes into 190 4 times with a remainder of 18.
The next digit of our result is 4. 
Result so far: 14913.4
If we subtract 172 from 190, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
The number 43 fits into 180 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 14913.44
If we subtract 172 from 180, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 14913.44 with a remainder of 0.008.