We divide 43676 by 71
Our goal is to divide 43676 by 71.

On to step 1:
When dividing 4 by 71, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 71

Step 2:
When dividing 43 by 71, we get 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Grab the next digit (6) from the dividend, add it to 43, then carry on: 436 / 71

Moving on to step 3:
436 divided by 71 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 10 after subtracting 426 from 436.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 71

Advancing to step 4:
71 can be fit into 107 1 times, resulting in a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 61.0
If we take 71 away from 107, we end up with 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 71

Going ahead to step 5:
71 can be fit into 366 5 times, resulting in a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 615.0
Subtracting 355 from 366 leaves us 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.

Let's proceed to step 6:
If we divide 110 by 71, we get 1 and a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 615.1
If we take 71 away from 110, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 7:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 615.15
Subtract 355 from 390 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.

Moving on to step 8:
If we divide 350 by 71, we get 4 and a remainder of 66.
The next digit of our result is 4. 
Result so far: 615.154
The remainder is 66 after subtracting 284 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 9:
71 can be fit into 660 9 times, resulting in a remainder of 21.
The next digit of our result is 9. 
Result so far: 615.1549
Subtracting 639 from 660 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 10:
71 can be fit into 210 2 times, resulting in a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 615.15492
Subtract 142 from 210 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 11:
71 goes into 680 9 times with a remainder of 41.
The next digit of our result is 9. 
Result so far: 615.154929
Subtract 639 from 680 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 12:
When dividing 410 by 71, we get 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 615.1549295
If we take 355 away from 410, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 13:
550 divided by 71 is 7 with a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 615.15492957
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

In conclusion, the division gives 615.15492957 with a balance of 5.3e-08.