108723 ÷ 13 
We're looking to find how many times 13 goes into 108723.

On to step 1:
13 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 13

On to step 2:
13 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 13

Moving on to step 3:
13 goes into 108 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 104 from 108, we get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 13

Let's proceed to step 4:
If we divide 47 by 13, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
The remainder is 8 after subtracting 39 from 47.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 13

On to step 5:
13 goes into 82 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 836.0
Subtracting 78 from 82 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Step 6:
If we divide 43 by 13, we get 3 and a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 8363.0
The remainder is 4 after subtracting 39 from 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 8363.3
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8363.3
The remainder is 10 after subtracting 0 from 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 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 8363.307
Deduct 91 from 100 and we're left 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.

Step 10:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 8363.3076
Deduct 78 from 90 and we're left 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.

On to step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 8363.30769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 8363.307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 8363.3076923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 8363.3076923
If we take 0 away from 10, we end up 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.

The quotient of the division is 8363.3076923, and the remainder is 1e-08.