97223 ÷ 13 
Let's see how many times 13 fits into 97223.

Going ahead to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 13

On to step 2:
If we divide 97 by 13, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 91 away from 97, we end up with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

Let's proceed to step 3:
The number 13 fits into 62 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
Subtract 52 from 62 to get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 13

On to step 4:
When dividing 102 by 13, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 747.0
Subtract 91 from 102 to get 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 13

Going ahead to step 5:
If we divide 113 by 13, we get 8 and a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 7478.0
Deduct 104 from 113 and we're left 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 6:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 7478.6
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.

Let's proceed to step 7:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 7478.69
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.

Going ahead to step 8:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 7478.692
The remainder is 4 after subtracting 26 from 30.
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 9:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 7478.6923
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.

Let's proceed to step 10:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 7478.6923
Subtract 0 from 10 to 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 11:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 7478.692307
Deduct 91 from 100 and we're left 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.

Going ahead to step 12:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 7478.6923076
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.

Going ahead to step 13:
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: 7478.69230769
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 quotient of the division is 7478.69230769, and the remainder is 3e-09.