93229 ÷ 13 
We want to figure out the number of times 93229 can be divided by 13.

On to step 1:
13 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 13

Let's proceed to step 2:
If we divide 93 by 13, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 91 from 93 and we're left with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 13

Step 3:
13 goes into 22 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 71.0
If we subtract 13 from 22, we get 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 13

Going ahead to step 4:
The number 13 fits into 92 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 717.0
If we subtract 91 from 92, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

Advancing to step 5:
19 divided by 13 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 7171.0
Deduct 13 from 19 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 7171.4
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 7171.46
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 7171.461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 7171.4615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 7171.46153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 7171.461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 7171.4615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 7171.46153846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 7171.46153846, and the remainder is 2e-09.