We divide 213762 by 13
We're looking to find how many times 13 goes into 213762.

Advancing to step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

Going ahead to step 2:
When dividing 21 by 13, we get 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 13 away from 21, we end up with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 13

Step 3:
13 can be fit into 83 6 times, resulting in a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 78 away from 83, we end up with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 13

Advancing to step 4:
13 goes into 57 4 times with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 164.0
If we take 52 away from 57, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 13

Advancing to step 5:
56 divided by 13 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 1644.0
Subtract 52 from 56 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 13

Going ahead to step 6:
When dividing 42 by 13, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 16443.0
Deduct 39 from 42 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.

Step 7:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 16443.2
Subtracting 26 from 30 leaves us 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.

Step 8:
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: 16443.23
The remainder is 1 after subtracting 39 from 40.
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 9:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 16443.23
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.

Let's proceed to step 10:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 16443.2307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 16443.23076
Subtract 78 from 90 to 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.

Let's proceed to step 12:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 16443.230769
If we take 117 away from 120, we end up 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.

Let's proceed to step 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 16443.2307692
If we subtract 26 from 30, we 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 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 16443.23076923
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.

In conclusion, the division gives 16443.23076923 with a balance of 1e-09.