97758371 ÷ 813 
Our goal is to divide 97758371 by 813.

Step 1:
813 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 813

Going ahead to step 2:
The number 813 fits into 97 0 times, leaving a remainder of 97.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 97, we get 97.
Include the next digit (7) from the dividend after 97, then repeat: 977 / 813

Step 3:
977 divided by 813 is 1 with a remainder of 164.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 813 from 977 and we're left with 164.
Include the next digit (5) from the dividend after 164, then repeat: 1645 / 813

Let's proceed to step 4:
813 goes into 1645 2 times with a remainder of 19.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 1626 from 1645 to get 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 813

Moving on to step 5:
When dividing 198 by 813, we get 0 with a remainder of 198.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
If we subtract 0 from 198, we get 198.
Include the next digit (3) from the dividend after 198, then repeat: 1983 / 813

Step 6:
If we divide 1983 by 813, we get 2 and a remainder of 357.
The number 2 becomes the next digit in our result. 
Result so far: 1202.0
Deduct 1626 from 1983 and we're left with 357.
Bring next digit (7) of the dividend behind the 357 and repeat the process: 3577 / 813

On to step 7:
813 can be fit into 3577 4 times, resulting in a remainder of 325.
The next digit of our result is 4. 
Result so far: 12024.0
Subtract 3252 from 3577 to get 325.
Fetch the next digit (1) from the dividend, attach it to 325 and continue: 3251 / 813

Let's proceed to step 8:
When dividing 3251 by 813, we get 3 with a remainder of 812.
The number 3 becomes the next digit in our result. 
Result so far: 120243.0
Subtracting 2439 from 3251 leaves us with 812.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8120, and continue the process.

Moving on to step 9:
If we divide 8120 by 813, we get 9 and a remainder of 803.
The number 9 becomes the next digit in our result. 
Result so far: 120243.9
The remainder is 803 after subtracting 7317 from 8120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8030, and continue the process.

Let's proceed to step 10:
If we divide 8030 by 813, we get 9 and a remainder of 713.
Record the quotient 9 as the next digit in the result. 
Result so far: 120243.99
The remainder is 713 after subtracting 7317 from 8030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7130, and continue the process.

The quotient of the division is 120243.99, and the remainder is 0.713.