97088107 ÷ 34 
Our goal is to divide 97088107 by 34.

Let's proceed to step 1:
When dividing 9 by 34, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 34

Let's proceed to step 2:
If we divide 97 by 34, we get 2 and a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 68 from 97 to get 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 34

Going ahead to step 3:
34 can be fit into 290 8 times, resulting in a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 28.0
Deduct 272 from 290 and we're left with 18.
Append the next digit (8) from the dividend to 18 and continue with: 188 / 34

Advancing to step 4:
When dividing 188 by 34, we get 5 with a remainder of 18.
The next digit of our result is 5. 
Result so far: 285.0
If we subtract 170 from 188, we get 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 34

Step 5:
188 divided by 34 is 5 with a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 2855.0
Subtracting 170 from 188 leaves us with 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 34

Advancing to step 6:
The number 34 fits into 181 5 times, leaving a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 28555.0
If we take 170 away from 181, we end up with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 34

On to step 7:
34 can be fit into 110 3 times, resulting in a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 285553.0
Deduct 102 from 110 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 34

On to step 8:
34 goes into 87 2 times with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 2855532.0
Deduct 68 from 87 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
34 can be fit into 190 5 times, resulting in a remainder of 20.
The next digit of our result is 5. 
Result so far: 2855532.5
The remainder is 20 after subtracting 170 from 190.
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 10:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2855532.55
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 2855532.55, and the remainder is 0.03.