We're dividing 25438734 by 217 
We're looking to find how many times 217 goes into 25438734.

Going ahead to step 1:
If we divide 2 by 217, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 217

Moving on to step 2:
If we divide 25 by 217, we get 0 and a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 217

Moving on to step 3:
217 goes into 254 1 times with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 217 from 254 to get 37.
Include the next digit (3) from the dividend after 37, then repeat: 373 / 217

Let's proceed to step 4:
If we divide 373 by 217, we get 1 and a remainder of 156.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 217 from 373, we get 156.
Bring next digit (8) of the dividend behind the 156 and repeat the process: 1568 / 217

Advancing to step 5:
217 goes into 1568 7 times with a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
If we subtract 1519 from 1568, we get 49.
Grab the next digit (7) from the dividend, add it to 49, then carry on: 497 / 217

On to step 6:
The number 217 fits into 497 2 times, leaving a remainder of 63.
The number 2 becomes the next digit in our result. 
Result so far: 1172.0
Subtract 434 from 497 to get 63.
Include the next digit (3) from the dividend after 63, then repeat: 633 / 217

Going ahead to step 7:
The number 217 fits into 633 2 times, leaving a remainder of 199.
The number 2 becomes the next digit in our result. 
Result so far: 11722.0
The remainder is 199 after subtracting 434 from 633.
Take the next digit (4) from the dividend and append it to 199, then repeat: 1994 / 217

On to step 8:
217 can be fit into 1994 9 times, resulting in a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 117229.0
Subtracting 1953 from 1994 leaves us 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.

Step 9:
When dividing 410 by 217, we get 1 with a remainder of 193.
Use 1 as the next digit of our solution. 
Result so far: 117229.1
The remainder is 193 after subtracting 217 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

Moving on to step 10:
217 can be fit into 1930 8 times, resulting in a remainder of 194.
The number 8 becomes the next digit in our result. 
Result so far: 117229.18
Subtract 1736 from 1930 to get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Let's proceed to step 11:
1940 divided by 217 is 8 with a remainder of 204.
The next digit of our result is 8. 
Result so far: 117229.188
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.

The final result is 117229.188 with a remainder of 0.0204.