We're dividing 721644 by 13 
Our goal is to divide 721644 by 13.

On to step 1:
7 divided by 13 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 13

Advancing 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
The remainder is 7 after subtracting 65 from 72.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 13

Let's proceed to step 3:
If we divide 71 by 13, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
The remainder is 6 after subtracting 65 from 71.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 13

Moving on to step 4:
13 can be fit into 66 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 555.0
If we subtract 65 from 66, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 13

Going ahead to step 5:
14 divided by 13 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 5551.0
If we subtract 13 from 14, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 13

Moving on to step 6:
13 goes into 14 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 55511.0
Deduct 13 from 14 and we're left 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 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: 55511.0
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.

Step 8:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 55511.07
Subtracting 91 from 100 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.

On to step 9:
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: 55511.076
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.

On to step 10:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 55511.0769
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.

On to step 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 55511.07692
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.

On to step 12:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 55511.076923
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.

Let's proceed to step 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 55511.076923
Subtracting 0 from 10 leaves us 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.

Advancing to step 14:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 55511.07692307
Subtracting 91 from 100 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.

The quotient of the division is 55511.07692307, and the remainder is 9e-09.