We look at the division of 724564 by 13 
We're looking to find how many times 13 goes into 724564.

Moving on to step 1:
If we divide 7 by 13, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 13

On to step 2:
13 goes into 72 5 times with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 65 from 72 leaves us with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 13

Step 3:
13 can be fit into 74 5 times, resulting in a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 55.0
If we take 65 away from 74, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 13

Moving on to step 4:
If we divide 95 by 13, we get 7 and a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 557.0
Subtract 91 from 95 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Moving on to step 5:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 5573.0
The remainder is 7 after subtracting 39 from 46.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 13

Going ahead to step 6:
74 divided by 13 is 5 with a remainder of 9.
The next digit of our result is 5. 
Result so far: 55735.0
Subtracting 65 from 74 leaves us 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.

Moving on to step 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 55735.6
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.

Moving on to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 55735.69
Subtract 117 from 120 to 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.

Moving on to step 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 55735.692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 55735.6923
The remainder is 1 after subtracting 39 from 40.
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:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 55735.6923
Deduct 0 from 10 and we're left 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.

Moving on to step 12:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 55735.692307
If we take 91 away from 100, we end up 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.

On to step 13:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 55735.6923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 55735.69230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 55735.69230769 with a remainder of 3e-09.