We're dividing 25305930 by 217 
We're looking to find how many times 217 goes into 25305930.

Let's proceed to step 1:
217 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 217

On to step 2:
The number 217 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 217

Moving on to step 3:
The number 217 fits into 253 1 times, leaving a remainder of 36.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 217 from 253 and we're left with 36.
Fetch the next digit (0) from the dividend, attach it to 36 and continue: 360 / 217

Let's proceed to step 4:
When dividing 360 by 217, we get 1 with a remainder of 143.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 217 from 360 leaves us with 143.
Include the next digit (5) from the dividend after 143, then repeat: 1435 / 217

Let's proceed to step 5:
If we divide 1435 by 217, we get 6 and a remainder of 133.
The next digit of our result is 6. 
Result so far: 116.0
If we take 1302 away from 1435, we end up with 133.
Fetch the next digit (9) from the dividend, attach it to 133 and continue: 1339 / 217

Advancing to step 6:
217 can be fit into 1339 6 times, resulting in a remainder of 37.
The next digit of our result is 6. 
Result so far: 1166.0
The remainder is 37 after subtracting 1302 from 1339.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 217

Step 7:
217 goes into 373 1 times with a remainder of 156.
Use 1 as the next digit of our solution. 
Result so far: 11661.0
The remainder is 156 after subtracting 217 from 373.
Take the next digit (0) from the dividend and append it to 156, then repeat: 1560 / 217

Step 8:
217 can be fit into 1560 7 times, resulting in a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 116617.0
Deduct 1519 from 1560 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 9:
410 divided by 217 is 1 with a remainder of 193.
Record the quotient 1 as the next digit in the result. 
Result so far: 116617.1
Deduct 217 from 410 and we're left with 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

Advancing to step 10:
The number 217 fits into 1930 8 times, leaving a remainder of 194.
Write down 8 as next digit of the result. 
Result so far: 116617.18
Subtracting 1736 from 1930 leaves us with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Advancing to step 11:
When dividing 1940 by 217, we get 8 with a remainder of 204.
Use 8 as the next digit of our solution. 
Result so far: 116617.188
If we subtract 1736 from 1940, we get 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

After the division, we end up with 116617.188 and a remainder of 0.0204.