We divide 213703 by 13
We want to figure out the number of times 213703 can be divided by 13.

On to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

Step 2:
When dividing 21 by 13, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 13 from 21, we get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 13

Let's proceed to step 3:
13 goes into 83 6 times with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 5 after subtracting 78 from 83.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 13

Step 4:
When dividing 57 by 13, we get 4 with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 164.0
Deduct 52 from 57 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 13

On to step 5:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 1643.0
Deduct 39 from 50 and we're left with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 13

Step 6:
The number 13 fits into 113 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 16438.0
The remainder is 9 after subtracting 104 from 113.
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 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 16438.6
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.

Let's proceed to step 8:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 16438.69
Deduct 117 from 120 and we're left 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.

On to step 9:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 16438.692
Deduct 26 from 30 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.

On to step 10:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 16438.6923
Deduct 39 from 40 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.

Advancing to step 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 16438.6923
If we take 0 away from 10, we end up 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.

Step 12:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 16438.692307
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 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: 16438.6923076
If we subtract 78 from 90, we get 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 14:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 16438.69230769
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.

After the division, we end up with 16438.69230769 and a remainder of 3e-09.