We divide 81410 by 79
We want to divide 81410 by 79.

Moving on to step 1:
79 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 79

Step 2:
The number 79 fits into 81 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 2 after subtracting 79 from 81.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 79

On to step 3:
When dividing 24 by 79, we get 0 with a remainder of 24.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 24 to get 24.
Append the next digit (1) from the dividend to 24 and continue with: 241 / 79

Step 4:
79 can be fit into 241 3 times, resulting in a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 103.0
Subtract 237 from 241 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 79

Moving on to step 5:
The number 79 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 1030.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 6:
400 divided by 79 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1030.5
The remainder is 5 after subtracting 395 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 79 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 1030.5
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
500 divided by 79 is 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 1030.506
The remainder is 26 after subtracting 474 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
When dividing 260 by 79, we get 3 with a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 1030.5063
Deduct 237 from 260 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 10:
79 can be fit into 230 2 times, resulting in a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 1030.50632
Subtract 158 from 230 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 11:
720 divided by 79 is 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 1030.506329
Subtracting 711 from 720 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
When dividing 90 by 79, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1030.5063291
If we take 79 away from 90, 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.

Let's proceed to step 13:
79 can be fit into 110 1 times, resulting in a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 1030.50632911
Subtract 79 from 110 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final outcome is 1030.50632911, with a leftover of 3.1e-08.