Let's divide 213216 by 13
We want to figure out the number of times 213216 can be divided by 13.

Let's proceed to step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 13

On to step 2:
When dividing 21 by 13, we get 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 13 from 21 to get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 13

Moving on to step 3:
13 goes into 83 6 times with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Deduct 78 from 83 and we're left with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 13

Advancing to step 4:
The number 13 fits into 52 4 times, leaving a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 164.0
Deduct 52 from 52 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 13

Step 5:
When dividing 1 by 13, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 1640.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 13

Let's proceed to step 6:
13 goes into 16 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 16401.0
If we subtract 13 from 16, 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 7:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 16401.2
If we take 26 away from 30, we end up 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.

Moving on to step 8:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 16401.23
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 16401.23
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.

Going ahead to step 10:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 16401.2307
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.

Let's proceed to step 11:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 16401.23076
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 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 16401.230769
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.

Step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 16401.2307692
If we take 26 away from 30, we end up 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.

Going ahead to step 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 16401.23076923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 16401.23076923 with a remaining 1e-09.