83543 divided by 71 
We want to figure out the number of times 83543 can be divided by 71.

On to step 1:
If we divide 8 by 71, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 71

Advancing to step 2:
71 can be fit into 83 1 times, resulting in a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 71 from 83, we get 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 71

Step 3:
71 goes into 125 1 times with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 54 after subtracting 71 from 125.
Take the next digit (4) from the dividend and append it to 54, then repeat: 544 / 71

Let's proceed to step 4:
71 can be fit into 544 7 times, resulting in a remainder of 47.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
Subtracting 497 from 544 leaves us with 47.
Grab the next digit (3) from the dividend, add it to 47, then carry on: 473 / 71

Step 5:
71 can be fit into 473 6 times, resulting in a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 1176.0
Deduct 426 from 473 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 6:
71 can be fit into 470 6 times, resulting in a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 1176.6
Deduct 426 from 470 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
440 divided by 71 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 1176.66
The remainder is 14 after subtracting 426 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 1176.66, and the remainder is 0.014.