213832 ÷ 15 
We're looking to find how many times 15 goes into 213832.

Step 1:
2 divided by 15 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 15

Let's proceed to step 2:
The number 15 fits into 21 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 15 from 21 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 15

Going ahead to step 3:
If we divide 63 by 15, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtract 60 from 63 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 15

Going ahead to step 4:
When dividing 38 by 15, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 142.0
Subtract 30 from 38 to get 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 15

Advancing to step 5:
15 can be fit into 83 5 times, resulting in a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 1425.0
Subtract 75 from 83 to get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 15

Going ahead to step 6:
15 goes into 82 5 times with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 14255.0
The remainder is 7 after subtracting 75 from 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 14255.4
Deduct 60 from 70 and we're left 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 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 14255.46
Subtract 90 from 100 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.

Let's proceed to step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 14255.466
Deduct 90 from 100 and we're left 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.

After the division, we end up with 14255.466 and a remainder of 0.001.