17277170 ÷ 306 
We want to figure out the number of times 17277170 can be divided by 306.

Moving on to step 1:
1 divided by 306 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 306

On to step 2:
306 goes into 17 0 times with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 306

Advancing to step 3:
If we divide 172 by 306, we get 0 and a remainder of 172.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 172 after subtracting 0 from 172.
Grab the next digit (7) from the dividend, add it to 172, then carry on: 1727 / 306

Let's proceed to step 4:
When dividing 1727 by 306, we get 5 with a remainder of 197.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 1530 from 1727 and we're left with 197.
Include the next digit (7) from the dividend after 197, then repeat: 1977 / 306

Let's proceed to step 5:
306 goes into 1977 6 times with a remainder of 141.
Write down 6 as next digit of the result. 
Result so far: 56.0
Subtract 1836 from 1977 to get 141.
Take the next digit (1) from the dividend and append it to 141, then repeat: 1411 / 306

Step 6:
1411 divided by 306 is 4 with a remainder of 187.
The number 4 becomes the next digit in our result. 
Result so far: 564.0
The remainder is 187 after subtracting 1224 from 1411.
Bring next digit (7) of the dividend behind the 187 and repeat the process: 1877 / 306

Moving on to step 7:
306 goes into 1877 6 times with a remainder of 41.
Put 6 as the next digit of the answer. 
Result so far: 5646.0
Subtracting 1836 from 1877 leaves us with 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 306

Let's proceed to step 8:
410 divided by 306 is 1 with a remainder of 104.
Put 1 as the next digit of the answer. 
Result so far: 56461.0
The remainder is 104 after subtracting 306 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

On to step 9:
If we divide 1040 by 306, we get 3 and a remainder of 122.
The next digit of our result is 3. 
Result so far: 56461.3
Subtract 918 from 1040 to get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Let's proceed to step 10:
The number 306 fits into 1220 3 times, leaving a remainder of 302.
The number 3 becomes the next digit in our result. 
Result so far: 56461.33
If we subtract 918 from 1220, we get 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

In conclusion, the division gives 56461.33 with a balance of 0.302.