214132 ÷ 25 
Our goal is to divide 214132 by 25.

Moving on to step 1:
25 can be fit into 2 0 times, resulting in 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 / 25

Moving on to step 2:
When dividing 21 by 25, we get 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 25

Going ahead to step 3:
The number 25 fits into 214 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 200 from 214 leaves us with 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 25

Step 4:
The number 25 fits into 141 5 times, leaving a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
The remainder is 16 after subtracting 125 from 141.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 25

Step 5:
163 divided by 25 is 6 with a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 856.0
Deduct 150 from 163 and we're left with 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 25

Step 6:
25 can be fit into 132 5 times, resulting in a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 8565.0
Subtracting 125 from 132 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
25 goes into 70 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 8565.2
Subtract 50 from 70 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
The number 25 fits into 200 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 8565.28
The remainder is 0 after subtracting 200 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
0 divided by 25 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8565.28
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8565.28
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 8565.28 with a remainder of 0.0.