We're dividing 73558 by 13 
Our goal is to divide 73558 by 13.

Step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 13

Step 2:
The number 13 fits into 73 5 times, leaving a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 73, we end up with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 13

Going ahead to step 3:
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: 56.0
The remainder is 7 after subtracting 78 from 85.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 13

Step 4:
When dividing 75 by 13, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 565.0
Deduct 65 from 75 and we're left with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 13

Advancing to step 5:
When dividing 108 by 13, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5658.0
Deduct 104 from 108 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.

Going ahead to step 6:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 5658.3
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.

On to step 7:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5658.3
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.

Step 8:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 5658.307
Subtract 91 from 100 to get 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 9:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 5658.3076
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.

Step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 5658.30769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 5658.307692
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.

Let's proceed to step 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 5658.3076923
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.

Moving on to step 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 5658.3076923
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.

After the division, we end up with 5658.3076923 and a remainder of 1e-08.