We divide 85623 by 13
Let's see how many times 13 fits into 85623.

Going ahead to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 13

Going ahead to step 2:
When dividing 85 by 13, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 78 from 85 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 13

On to step 3:
When dividing 76 by 13, we get 5 with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 65.0
The remainder is 11 after subtracting 65 from 76.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 13

Step 4:
The number 13 fits into 112 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 658.0
If we take 104 away from 112, we end up with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 13

On to step 5:
The number 13 fits into 83 6 times, leaving a remainder of 5.
The next digit of our result is 6. 
Result so far: 6586.0
Deduct 78 from 83 and we're left 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.

Let's proceed to step 6:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 6586.3
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.

Advancing to step 7:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 6586.38
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.

Let's proceed to step 8:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 6586.384
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.

Let's proceed to step 9:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6586.3846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 6586.38461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 6586.384615
If we subtract 65 from 70, we 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.

Step 12:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 6586.3846153
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.

On 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: 6586.38461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 6586.38461538 with a balance of 6e-09.