81814 ÷ 13 
Let's see how many times 13 fits into 81814.

Advancing to step 1:
13 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 13

Advancing to step 2:
81 divided by 13 is 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 78 from 81 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 13

Let's proceed to step 3:
13 goes into 38 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Deduct 26 from 38 and we're left with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 13

Let's proceed to step 4:
121 divided by 13 is 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 629.0
If we subtract 117 from 121, we get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 13

On to step 5:
13 goes into 44 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 6293.0
Subtract 39 from 44 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 6293.3
Deduct 39 from 50 and we're left 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.

Step 7:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 6293.38
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 6293.384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 6293.3846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 6293.38461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6293.384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 6293.3846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 13:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 6293.38461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 6293.38461538, and the remainder is 6e-09.