We look at the division of 71414 by 81 
We want to divide 71414 by 81.

Advancing to step 1:
The number 81 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 81

Advancing to step 2:
If we divide 71 by 81, we get 0 and a remainder of 71.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Take the next digit (4) from the dividend and append it to 71, then repeat: 714 / 81

Advancing to step 3:
81 can be fit into 714 8 times, resulting in a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 66 after subtracting 648 from 714.
Fetch the next digit (1) from the dividend, attach it to 66 and continue: 661 / 81

Moving on to step 4:
If we divide 661 by 81, we get 8 and a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 88.0
The remainder is 13 after subtracting 648 from 661.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 81

Advancing to step 5:
When dividing 134 by 81, we get 1 with a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 881.0
Deduct 81 from 134 and we're left 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.

On to step 6:
The number 81 fits into 530 6 times, leaving a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 881.6
Subtract 486 from 530 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
When dividing 440 by 81, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 881.65
If we take 405 away from 440, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
If we divide 350 by 81, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 881.654
The remainder is 26 after subtracting 324 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
If we divide 260 by 81, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 881.6543
If we subtract 243 from 260, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
If we divide 170 by 81, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 881.65432
The remainder is 8 after subtracting 162 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
If we divide 80 by 81, we get 0 and a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 881.65432
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 12:
If we divide 800 by 81, we get 9 and a remainder of 71.
Use 9 as the next digit of our solution. 
Result so far: 881.6543209
If we take 729 away from 800, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 13:
The number 81 fits into 710 8 times, leaving a remainder of 62.
The next digit of our result is 8. 
Result so far: 881.65432098
The remainder is 62 after subtracting 648 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The quotient of the division is 881.65432098, and the remainder is 6.2e-08.