We're dividing 85573 by 13 
We want to divide 85573 by 13.

On to step 1:
13 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 13

Moving on to step 2:
If we divide 85 by 13, we get 6 and a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 78 from 85 and we're left with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 13

Let's proceed to step 3:
13 goes into 75 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 65.0
Deduct 65 from 75 and we're left with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 13

On to step 4:
13 can be fit into 107 8 times, resulting in a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 658.0
Subtract 104 from 107 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 13

Let's proceed to step 5:
13 can be fit into 33 2 times, resulting in a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 6582.0
The remainder is 7 after subtracting 26 from 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 6:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6582.5
Deduct 65 from 70 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.

Step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 6582.53
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.

Advancing to step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 6582.538
Subtracting 104 from 110 leaves us 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.

On to step 9:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 6582.5384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6582.53846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 6582.538461
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 12:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 6582.5384615
The remainder is 5 after subtracting 65 from 70.
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 13:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 6582.53846153
If we subtract 39 from 50, we 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.

After the division, we end up with 6582.53846153 and a remainder of 1.1e-08.