17308 ÷ 49 
We're looking to find how many times 49 goes into 17308.

Advancing to step 1:
The number 49 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 49

Let's proceed to step 2:
49 can be fit into 17 0 times, resulting in a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 49

On to step 3:
When dividing 173 by 49, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 147 from 173 leaves us with 26.
Grab the next digit (0) from the dividend, add it to 26, then carry on: 260 / 49

On to step 4:
If we divide 260 by 49, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we subtract 245 from 260, we get 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 49

Advancing to step 5:
When dividing 158 by 49, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 353.0
If we subtract 147 from 158, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 6:
When dividing 110 by 49, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 353.2
If we subtract 98 from 110, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
120 divided by 49 is 2 with a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 353.22
The remainder is 22 after subtracting 98 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 353.22 with a balance of 0.022.