We divide 6945887 by 543
We want to figure out the number of times 6945887 can be divided by 543.

Step 1:
6 divided by 543 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 543

Going ahead to step 2:
If we divide 69 by 543, we get 0 and a remainder of 69.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 69 to get 69.
Grab the next digit (4) from the dividend, add it to 69, then carry on: 694 / 543

Going ahead to step 3:
543 can be fit into 694 1 times, resulting in a remainder of 151.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 543 from 694 to get 151.
Fetch the next digit (5) from the dividend, attach it to 151 and continue: 1515 / 543

Step 4:
543 can be fit into 1515 2 times, resulting in a remainder of 429.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 1086 away from 1515, we end up with 429.
Take the next digit (8) from the dividend and append it to 429, then repeat: 4298 / 543

Advancing to step 5:
If we divide 4298 by 543, we get 7 and a remainder of 497.
The next digit of our result is 7. 
Result so far: 127.0
Deduct 3801 from 4298 and we're left with 497.
Fetch the next digit (8) from the dividend, attach it to 497 and continue: 4978 / 543

Moving on to step 6:
If we divide 4978 by 543, we get 9 and a remainder of 91.
Write down 9 as next digit of the result. 
Result so far: 1279.0
The remainder is 91 after subtracting 4887 from 4978.
Grab the next digit (7) from the dividend, add it to 91, then carry on: 917 / 543

Moving on to step 7:
917 divided by 543 is 1 with a remainder of 374.
The next digit of our result is 1. 
Result so far: 12791.0
Subtracting 543 from 917 leaves us with 374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

Advancing to step 8:
3740 divided by 543 is 6 with a remainder of 482.
The number 6 becomes the next digit in our result. 
Result so far: 12791.6
Subtract 3258 from 3740 to get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

On to step 9:
The number 543 fits into 4820 8 times, leaving a remainder of 476.
Record the quotient 8 as the next digit in the result. 
Result so far: 12791.68
If we subtract 4344 from 4820, we get 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Let's proceed to step 10:
The number 543 fits into 4760 8 times, leaving a remainder of 416.
The next digit of our result is 8. 
Result so far: 12791.688
The remainder is 416 after subtracting 4344 from 4760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

In conclusion, the division gives 12791.688 with a balance of 0.0416.