We're dividing 71262 by 43 
We're looking to find how many times 43 goes into 71262.

Let's proceed to step 1:
When dividing 7 by 43, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 43

Moving on to step 2:
43 can be fit into 71 1 times, resulting in a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 43 from 71 and we're left with 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 43

Let's proceed to step 3:
282 divided by 43 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 16.0
The remainder is 24 after subtracting 258 from 282.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 43

On to step 4:
When dividing 246 by 43, we get 5 with a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 165.0
Subtracting 215 from 246 leaves us with 31.
Bring next digit (2) of the dividend behind the 31 and repeat the process: 312 / 43

Let's proceed to step 5:
If we divide 312 by 43, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 1657.0
If we take 301 away from 312, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 6:
43 can be fit into 110 2 times, resulting in a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 1657.2
Subtract 86 from 110 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
43 goes into 240 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1657.25
Deduct 215 from 240 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
250 divided by 43 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 1657.255
Subtract 215 from 250 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 1657.255, and the remainder is 0.0035.