We look at the division of 89541 by 13 
We want to divide 89541 by 13.

Going ahead to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 13

On to step 2:
13 goes into 89 6 times with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 78 from 89 and we're left with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 13

On to step 3:
If we divide 115 by 13, we get 8 and a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 68.0
If we subtract 104 from 115, we get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 13

Let's proceed to step 4:
If we divide 114 by 13, we get 8 and a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 688.0
If we take 104 away from 114, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 13

Advancing to step 5:
When dividing 101 by 13, we get 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 6887.0
If we subtract 91 from 101, we 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.

Moving on to step 6:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 6887.7
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 6887.76
If we take 78 away from 90, 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.

Going ahead to step 8:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 6887.769
Subtracting 117 from 120 leaves us 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 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 6887.7692
Subtracting 26 from 30 leaves us 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.

Moving on to step 10:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 6887.76923
Subtracting 39 from 40 leaves us 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 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6887.76923
If we subtract 0 from 10, we 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.

On to step 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 6887.7692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 6887.76923076
If we take 78 away from 90, 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.

After the division, we end up with 6887.76923076 and a remainder of 1.2e-08.