81416 ÷ 26 
We want to divide 81416 by 26.

Going ahead to step 1:
When dividing 8 by 26, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 26

Going ahead to step 2:
26 can be fit into 81 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 78 away from 81, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 26

Let's proceed to step 3:
When dividing 34 by 26, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 31.0
Subtracting 26 from 34 leaves us with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 26

Going ahead to step 4:
26 can be fit into 81 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 313.0
Deduct 78 from 81 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 26

Advancing to step 5:
36 divided by 26 is 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 3131.0
Subtracting 26 from 36 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 6:
The number 26 fits into 100 3 times, leaving a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 3131.3
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
The number 26 fits into 220 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 3131.38
If we take 208 away from 220, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
26 goes into 120 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 3131.384
Deduct 104 from 120 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
When dividing 160 by 26, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 3131.3846
Subtract 156 from 160 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
40 divided by 26 is 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 3131.38461
Deduct 26 from 40 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
26 goes into 140 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 3131.384615
Subtract 130 from 140 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
26 can be fit into 100 3 times, resulting in a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 3131.3846153
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
26 goes into 220 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 3131.38461538
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 3131.38461538 with a balance of 1.2e-08.